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Finding the Fourth Proportional to 8,737.64, 12,062.08 and 5,151.50

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Solution

The fourth proportional to 8,737.64, 12,062.08 and 5,151.50 is: 7,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.64 : 12,062.08 = 5,151.50 : x
  2. Step 2: Convert to fraction form
    8,737.64/12,062.08 = 5,151.50/x
  3. Step 3: Cross multiply
    8,737.64x = 12,062.08 × 5,151.50
  4. Step 4: Simplify right side
    8,737.64x = 62,137,805.12
  5. Step 5: Solve for x
    x = 62,137,805.12/8,737.64
  6. Step 6: Final answer
    x = 7,111.51

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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.