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Finding the Fourth Proportional to 7,405.92, 10,211.76 and 5,539.68

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Solution

The fourth proportional to 7,405.92, 10,211.76 and 5,539.68 is: 7,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.92 : 10,211.76 = 5,539.68 : x
  2. Step 2: Convert to fraction form
    7,405.92/10,211.76 = 5,539.68/x
  3. Step 3: Cross multiply
    7,405.92x = 10,211.76 × 5,539.68
  4. Step 4: Simplify right side
    7,405.92x = 56,569,882.64
  5. Step 5: Solve for x
    x = 56,569,882.64/7,405.92
  6. Step 6: Final answer
    x = 7,638.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.