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Finding the Fourth Proportional to 7,632.80, 10,534.24 and 4,489.28

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Solution

The fourth proportional to 7,632.80, 10,534.24 and 4,489.28 is: 6,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.80 : 10,534.24 = 4,489.28 : x
  2. Step 2: Convert to fraction form
    7,632.80/10,534.24 = 4,489.28/x
  3. Step 3: Cross multiply
    7,632.80x = 10,534.24 × 4,489.28
  4. Step 4: Simplify right side
    7,632.80x = 47,291,152.95
  5. Step 5: Solve for x
    x = 47,291,152.95/7,632.80
  6. Step 6: Final answer
    x = 6,195.78

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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.