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Finding the Fourth Proportional to 10,539.76, 15,810.69 and 3,142.91

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Solution

The fourth proportional to 10,539.76, 15,810.69 and 3,142.91 is: 4,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.76 : 15,810.69 = 3,142.91 : x
  2. Step 2: Convert to fraction form
    10,539.76/15,810.69 = 3,142.91/x
  3. Step 3: Cross multiply
    10,539.76x = 15,810.69 × 3,142.91
  4. Step 4: Simplify right side
    10,539.76x = 49,691,575.71
  5. Step 5: Solve for x
    x = 49,691,575.71/10,539.76
  6. Step 6: Final answer
    x = 4,714.68

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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.