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Finding the Fourth Proportional to 7,534.80, 10,397.57 and 4,177.42

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Solution

The fourth proportional to 7,534.80, 10,397.57 and 4,177.42 is: 5,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.80 : 10,397.57 = 4,177.42 : x
  2. Step 2: Convert to fraction form
    7,534.80/10,397.57 = 4,177.42/x
  3. Step 3: Cross multiply
    7,534.80x = 10,397.57 × 4,177.42
  4. Step 4: Simplify right side
    7,534.80x = 43,434,964.88
  5. Step 5: Solve for x
    x = 43,434,964.88/7,534.80
  6. Step 6: Final answer
    x = 5,764.58

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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.