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Finding the Fourth Proportional to 10,536.17, 15,805.76 and 3,142.89

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Solution

The fourth proportional to 10,536.17, 15,805.76 and 3,142.89 is: 4,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.17 : 15,805.76 = 3,142.89 : x
  2. Step 2: Convert to fraction form
    10,536.17/15,805.76 = 3,142.89/x
  3. Step 3: Cross multiply
    10,536.17x = 15,805.76 × 3,142.89
  4. Step 4: Simplify right side
    10,536.17x = 49,675,749.33
  5. Step 5: Solve for x
    x = 49,675,749.33/10,536.17
  6. Step 6: Final answer
    x = 4,714.78

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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.