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Finding the Fourth Proportional to 6,164,783.64, 8,507,415.42 and 3,411,671.40

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Solution

The fourth proportional to 6,164,783.64, 8,507,415.42 and 3,411,671.40 is: 4,708,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,783.64 : 8,507,415.42 = 3,411,671.40 : x
  2. Step 2: Convert to fraction form
    6,164,783.64/8,507,415.42 = 3,411,671.40/x
  3. Step 3: Cross multiply
    6,164,783.64x = 8,507,415.42 × 3,411,671.40
  4. Step 4: Simplify right side
    6,164,783.64x = 29,024,505,876,332.99
  5. Step 5: Solve for x
    x = 29,024,505,876,332.99/6,164,783.64
  6. Step 6: Final answer
    x = 4,708,114.28

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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.