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Finding the Fourth Proportional to 10,737.12, 16,115.95 and 6,585.25

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Solution

The fourth proportional to 10,737.12, 16,115.95 and 6,585.25 is: 9,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.12 : 16,115.95 = 6,585.25 : x
  2. Step 2: Convert to fraction form
    10,737.12/16,115.95 = 6,585.25/x
  3. Step 3: Cross multiply
    10,737.12x = 16,115.95 × 6,585.25
  4. Step 4: Simplify right side
    10,737.12x = 106,127,520.85
  5. Step 5: Solve for x
    x = 106,127,520.85/10,737.12
  6. Step 6: Final answer
    x = 9,884.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.