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Finding the Fourth Proportional to 10,931.69, 16,382.94 and 6,253.13

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Solution

The fourth proportional to 10,931.69, 16,382.94 and 6,253.13 is: 9,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.69 : 16,382.94 = 6,253.13 : x
  2. Step 2: Convert to fraction form
    10,931.69/16,382.94 = 6,253.13/x
  3. Step 3: Cross multiply
    10,931.69x = 16,382.94 × 6,253.13
  4. Step 4: Simplify right side
    10,931.69x = 102,444,571.69
  5. Step 5: Solve for x
    x = 102,444,571.69/10,931.69
  6. Step 6: Final answer
    x = 9,371.34

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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.