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Finding the Fourth Proportional to 10,562.14, 15,843.12 and 5,889.16

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Solution

The fourth proportional to 10,562.14, 15,843.12 and 5,889.16 is: 8,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.14 : 15,843.12 = 5,889.16 : x
  2. Step 2: Convert to fraction form
    10,562.14/15,843.12 = 5,889.16/x
  3. Step 3: Cross multiply
    10,562.14x = 15,843.12 × 5,889.16
  4. Step 4: Simplify right side
    10,562.14x = 93,302,668.58
  5. Step 5: Solve for x
    x = 93,302,668.58/10,562.14
  6. Step 6: Final answer
    x = 8,833.69

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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.