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Finding the Fourth Proportional to 7,645.18, 11,471.02 and 4,178.38

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Solution

The fourth proportional to 7,645.18, 11,471.02 and 4,178.38 is: 6,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.18 : 11,471.02 = 4,178.38 : x
  2. Step 2: Convert to fraction form
    7,645.18/11,471.02 = 4,178.38/x
  3. Step 3: Cross multiply
    7,645.18x = 11,471.02 × 4,178.38
  4. Step 4: Simplify right side
    7,645.18x = 47,930,280.55
  5. Step 5: Solve for x
    x = 47,930,280.55/7,645.18
  6. Step 6: Final answer
    x = 6,269.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.