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Finding the Fourth Proportional to 7,615.62, 10,507.20 and 4,471.20

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Solution

The fourth proportional to 7,615.62, 10,507.20 and 4,471.20 is: 6,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.62 : 10,507.20 = 4,471.20 : x
  2. Step 2: Convert to fraction form
    7,615.62/10,507.20 = 4,471.20/x
  3. Step 3: Cross multiply
    7,615.62x = 10,507.20 × 4,471.20
  4. Step 4: Simplify right side
    7,615.62x = 46,979,792.64
  5. Step 5: Solve for x
    x = 46,979,792.64/7,615.62
  6. Step 6: Final answer
    x = 6,168.87

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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.