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Finding the Fourth Proportional to 10,513.91, 15,770.92 and 3,118.43

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Solution

The fourth proportional to 10,513.91, 15,770.92 and 3,118.43 is: 4,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.91 : 15,770.92 = 3,118.43 : x
  2. Step 2: Convert to fraction form
    10,513.91/15,770.92 = 3,118.43/x
  3. Step 3: Cross multiply
    10,513.91x = 15,770.92 × 3,118.43
  4. Step 4: Simplify right side
    10,513.91x = 49,180,510.06
  5. Step 5: Solve for x
    x = 49,180,510.06/10,513.91
  6. Step 6: Final answer
    x = 4,677.66

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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.