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Finding the Fourth Proportional to 10,717.70, 14,780.75 and 8,931.11

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Solution

The fourth proportional to 10,717.70, 14,780.75 and 8,931.11 is: 12,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.70 : 14,780.75 = 8,931.11 : x
  2. Step 2: Convert to fraction form
    10,717.70/14,780.75 = 8,931.11/x
  3. Step 3: Cross multiply
    10,717.70x = 14,780.75 × 8,931.11
  4. Step 4: Simplify right side
    10,717.70x = 132,008,385.57
  5. Step 5: Solve for x
    x = 132,008,385.57/10,717.70
  6. Step 6: Final answer
    x = 12,316.86

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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.