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Finding the Fourth Proportional to 7,869.60, 10,859.88 and 4,332.76

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Solution

The fourth proportional to 7,869.60, 10,859.88 and 4,332.76 is: 5,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.60 : 10,859.88 = 4,332.76 : x
  2. Step 2: Convert to fraction form
    7,869.60/10,859.88 = 4,332.76/x
  3. Step 3: Cross multiply
    7,869.60x = 10,859.88 × 4,332.76
  4. Step 4: Simplify right side
    7,869.60x = 47,053,253.67
  5. Step 5: Solve for x
    x = 47,053,253.67/7,869.60
  6. Step 6: Final answer
    x = 5,979.12

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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.