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Finding the Fourth Proportional to 7,534.98, 10,397.53 and 4,177.71

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Solution

The fourth proportional to 7,534.98, 10,397.53 and 4,177.71 is: 5,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.98 : 10,397.53 = 4,177.71 : x
  2. Step 2: Convert to fraction form
    7,534.98/10,397.53 = 4,177.71/x
  3. Step 3: Cross multiply
    7,534.98x = 10,397.53 × 4,177.71
  4. Step 4: Simplify right side
    7,534.98x = 43,437,870.28
  5. Step 5: Solve for x
    x = 43,437,870.28/7,534.98
  6. Step 6: Final answer
    x = 5,764.83

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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.