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Finding the Fourth Proportional to 8,011.95, 11,056.11 and 4,475.09

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Solution

The fourth proportional to 8,011.95, 11,056.11 and 4,475.09 is: 6,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.95 : 11,056.11 = 4,475.09 : x
  2. Step 2: Convert to fraction form
    8,011.95/11,056.11 = 4,475.09/x
  3. Step 3: Cross multiply
    8,011.95x = 11,056.11 × 4,475.09
  4. Step 4: Simplify right side
    8,011.95x = 49,477,032.02
  5. Step 5: Solve for x
    x = 49,477,032.02/8,011.95
  6. Step 6: Final answer
    x = 6,175.40

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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.