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Finding the Fourth Proportional to 6,164,787.64, 8,507,420.94 and 3,411,675.40

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Solution

The fourth proportional to 6,164,787.64, 8,507,420.94 and 3,411,675.40 is: 4,708,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,787.64 : 8,507,420.94 = 3,411,675.40 : x
  2. Step 2: Convert to fraction form
    6,164,787.64/8,507,420.94 = 3,411,675.40/x
  3. Step 3: Cross multiply
    6,164,787.64x = 8,507,420.94 × 3,411,675.40
  4. Step 4: Simplify right side
    6,164,787.64x = 29,024,558,738,442.88
  5. Step 5: Solve for x
    x = 29,024,558,738,442.88/6,164,787.64
  6. Step 6: Final answer
    x = 4,708,119.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.