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Finding the Fourth Proportional to 10,536.75, 15,805.13 and 6,381.45

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Solution

The fourth proportional to 10,536.75, 15,805.13 and 6,381.45 is: 9,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.75 : 15,805.13 = 6,381.45 : x
  2. Step 2: Convert to fraction form
    10,536.75/15,805.13 = 6,381.45/x
  3. Step 3: Cross multiply
    10,536.75x = 15,805.13 × 6,381.45
  4. Step 4: Simplify right side
    10,536.75x = 100,859,614.93
  5. Step 5: Solve for x
    x = 100,859,614.93/10,536.75
  6. Step 6: Final answer
    x = 9,572.18

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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.