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Finding the Fourth Proportional to 7,869.50, 10,859.78 and 4,332.64

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Solution

The fourth proportional to 7,869.50, 10,859.78 and 4,332.64 is: 5,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.50 : 10,859.78 = 4,332.64 : x
  2. Step 2: Convert to fraction form
    7,869.50/10,859.78 = 4,332.64/x
  3. Step 3: Cross multiply
    7,869.50x = 10,859.78 × 4,332.64
  4. Step 4: Simplify right side
    7,869.50x = 47,051,517.22
  5. Step 5: Solve for x
    x = 47,051,517.22/7,869.50
  6. Step 6: Final answer
    x = 5,978.97

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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.