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Finding the Fourth Proportional to 10,691.75, 16,035.74 and 2,901.17

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Solution

The fourth proportional to 10,691.75, 16,035.74 and 2,901.17 is: 4,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.75 : 16,035.74 = 2,901.17 : x
  2. Step 2: Convert to fraction form
    10,691.75/16,035.74 = 2,901.17/x
  3. Step 3: Cross multiply
    10,691.75x = 16,035.74 × 2,901.17
  4. Step 4: Simplify right side
    10,691.75x = 46,522,444.28
  5. Step 5: Solve for x
    x = 46,522,444.28/10,691.75
  6. Step 6: Final answer
    x = 4,351.25

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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.