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Finding the Fourth Proportional to 7,534.58, 10,397.79 and 4,177.44

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Solution

The fourth proportional to 7,534.58, 10,397.79 and 4,177.44 is: 5,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.58 : 10,397.79 = 4,177.44 : x
  2. Step 2: Convert to fraction form
    7,534.58/10,397.79 = 4,177.44/x
  3. Step 3: Cross multiply
    7,534.58x = 10,397.79 × 4,177.44
  4. Step 4: Simplify right side
    7,534.58x = 43,436,143.86
  5. Step 5: Solve for x
    x = 43,436,143.86/7,534.58
  6. Step 6: Final answer
    x = 5,764.91

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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.