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Finding the Fourth Proportional to 10,515.76, 14,502.31 and 8,273.61

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Solution

The fourth proportional to 10,515.76, 14,502.31 and 8,273.61 is: 11,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.76 : 14,502.31 = 8,273.61 : x
  2. Step 2: Convert to fraction form
    10,515.76/14,502.31 = 8,273.61/x
  3. Step 3: Cross multiply
    10,515.76x = 14,502.31 × 8,273.61
  4. Step 4: Simplify right side
    10,515.76x = 119,986,436.36
  5. Step 5: Solve for x
    x = 119,986,436.36/10,515.76
  6. Step 6: Final answer
    x = 11,410.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.