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Finding the Fourth Proportional to 10,411.83, 15,598.31 and 8,098.47

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Solution

The fourth proportional to 10,411.83, 15,598.31 and 8,098.47 is: 12,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.83 : 15,598.31 = 8,098.47 : x
  2. Step 2: Convert to fraction form
    10,411.83/15,598.31 = 8,098.47/x
  3. Step 3: Cross multiply
    10,411.83x = 15,598.31 × 8,098.47
  4. Step 4: Simplify right side
    10,411.83x = 126,322,405.09
  5. Step 5: Solve for x
    x = 126,322,405.09/10,411.83
  6. Step 6: Final answer
    x = 12,132.58

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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.