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Finding the Fourth Proportional to 10,374.82, 15,562.19 and 6,216.08

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Solution

The fourth proportional to 10,374.82, 15,562.19 and 6,216.08 is: 9,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.82 : 15,562.19 = 6,216.08 : x
  2. Step 2: Convert to fraction form
    10,374.82/15,562.19 = 6,216.08/x
  3. Step 3: Cross multiply
    10,374.82x = 15,562.19 × 6,216.08
  4. Step 4: Simplify right side
    10,374.82x = 96,735,755.74
  5. Step 5: Solve for x
    x = 96,735,755.74/10,374.82
  6. Step 6: Final answer
    x = 9,324.09

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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.