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Finding the Fourth Proportional to 7,397.57, 10,191.29 and 5,155.40

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Solution

The fourth proportional to 7,397.57, 10,191.29 and 5,155.40 is: 7,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.57 : 10,191.29 = 5,155.40 : x
  2. Step 2: Convert to fraction form
    7,397.57/10,191.29 = 5,155.40/x
  3. Step 3: Cross multiply
    7,397.57x = 10,191.29 × 5,155.40
  4. Step 4: Simplify right side
    7,397.57x = 52,540,099.73
  5. Step 5: Solve for x
    x = 52,540,099.73/7,397.57
  6. Step 6: Final answer
    x = 7,102.35

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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.