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Finding the Fourth Proportional to 6,507.68, 8,980.40 and 3,713.04

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Solution

The fourth proportional to 6,507.68, 8,980.40 and 3,713.04 is: 5,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.68 : 8,980.40 = 3,713.04 : x
  2. Step 2: Convert to fraction form
    6,507.68/8,980.40 = 3,713.04/x
  3. Step 3: Cross multiply
    6,507.68x = 8,980.40 × 3,713.04
  4. Step 4: Simplify right side
    6,507.68x = 33,344,584.42
  5. Step 5: Solve for x
    x = 33,344,584.42/6,507.68
  6. Step 6: Final answer
    x = 5,123.88

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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.