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Finding the Fourth Proportional to 10,442.76, 15,663.72 and 4,200.96

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Solution

The fourth proportional to 10,442.76, 15,663.72 and 4,200.96 is: 6,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.76 : 15,663.72 = 4,200.96 : x
  2. Step 2: Convert to fraction form
    10,442.76/15,663.72 = 4,200.96/x
  3. Step 3: Cross multiply
    10,442.76x = 15,663.72 × 4,200.96
  4. Step 4: Simplify right side
    10,442.76x = 65,802,661.17
  5. Step 5: Solve for x
    x = 65,802,661.17/10,442.76
  6. Step 6: Final answer
    x = 6,301.27

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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.