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Finding the Fourth Proportional to 7,534.70, 10,397.44 and 4,177.30

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Solution

The fourth proportional to 7,534.70, 10,397.44 and 4,177.30 is: 5,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.70 : 10,397.44 = 4,177.30 : x
  2. Step 2: Convert to fraction form
    7,534.70/10,397.44 = 4,177.30/x
  3. Step 3: Cross multiply
    7,534.70x = 10,397.44 × 4,177.30
  4. Step 4: Simplify right side
    7,534.70x = 43,433,226.11
  5. Step 5: Solve for x
    x = 43,433,226.11/7,534.70
  6. Step 6: Final answer
    x = 5,764.43

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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.