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Finding the Fourth Proportional to 8,737.80, 12,059.16 and 5,201.02

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Solution

The fourth proportional to 8,737.80, 12,059.16 and 5,201.02 is: 7,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.80 : 12,059.16 = 5,201.02 : x
  2. Step 2: Convert to fraction form
    8,737.80/12,059.16 = 5,201.02/x
  3. Step 3: Cross multiply
    8,737.80x = 12,059.16 × 5,201.02
  4. Step 4: Simplify right side
    8,737.80x = 62,719,932.34
  5. Step 5: Solve for x
    x = 62,719,932.34/8,737.80
  6. Step 6: Final answer
    x = 7,178.00

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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.