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Finding the Fourth Proportional to 10,442.48, 15,652.76 and 4,891.16

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Solution

The fourth proportional to 10,442.48, 15,652.76 and 4,891.16 is: 7,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.48 : 15,652.76 = 4,891.16 : x
  2. Step 2: Convert to fraction form
    10,442.48/15,652.76 = 4,891.16/x
  3. Step 3: Cross multiply
    10,442.48x = 15,652.76 × 4,891.16
  4. Step 4: Simplify right side
    10,442.48x = 76,560,153.60
  5. Step 5: Solve for x
    x = 76,560,153.60/10,442.48
  6. Step 6: Final answer
    x = 7,331.61

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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.