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Finding the Fourth Proportional to 8,322.40, 11,478 and 5,669.92

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Solution

The fourth proportional to 8,322.40, 11,478 and 5,669.92 is: 7,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.40 : 11,478 = 5,669.92 : x
  2. Step 2: Convert to fraction form
    8,322.40/11,478 = 5,669.92/x
  3. Step 3: Cross multiply
    8,322.40x = 11,478 × 5,669.92
  4. Step 4: Simplify right side
    8,322.40x = 65,079,341.76
  5. Step 5: Solve for x
    x = 65,079,341.76/8,322.40
  6. Step 6: Final answer
    x = 7,819.78

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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.