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Finding the Fourth Proportional to 28,659.20, 42,985.56 and 7,880

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Solution

The fourth proportional to 28,659.20, 42,985.56 and 7,880 is: 11,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,659.20 : 42,985.56 = 7,880 : x
  2. Step 2: Convert to fraction form
    28,659.20/42,985.56 = 7,880/x
  3. Step 3: Cross multiply
    28,659.20x = 42,985.56 × 7,880
  4. Step 4: Simplify right side
    28,659.20x = 338,726,212.80
  5. Step 5: Solve for x
    x = 338,726,212.80/28,659.20
  6. Step 6: Final answer
    x = 11,819.11

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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.