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Finding the Fourth Proportional to 7,449.68, 10,254.78 and 6,440.96

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Solution

The fourth proportional to 7,449.68, 10,254.78 and 6,440.96 is: 8,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.68 : 10,254.78 = 6,440.96 : x
  2. Step 2: Convert to fraction form
    7,449.68/10,254.78 = 6,440.96/x
  3. Step 3: Cross multiply
    7,449.68x = 10,254.78 × 6,440.96
  4. Step 4: Simplify right side
    7,449.68x = 66,050,627.79
  5. Step 5: Solve for x
    x = 66,050,627.79/7,449.68
  6. Step 6: Final answer
    x = 8,866.24

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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.