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Finding the Fourth Proportional to 7,565.50, 10,440.39 and 4,253.50

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Solution

The fourth proportional to 7,565.50, 10,440.39 and 4,253.50 is: 5,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.50 : 10,440.39 = 4,253.50 : x
  2. Step 2: Convert to fraction form
    7,565.50/10,440.39 = 4,253.50/x
  3. Step 3: Cross multiply
    7,565.50x = 10,440.39 × 4,253.50
  4. Step 4: Simplify right side
    7,565.50x = 44,408,198.87
  5. Step 5: Solve for x
    x = 44,408,198.87/7,565.50
  6. Step 6: Final answer
    x = 5,869.83

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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.