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Finding the Fourth Proportional to 10,659.92, 15,990.98 and 4,091.60

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Solution

The fourth proportional to 10,659.92, 15,990.98 and 4,091.60 is: 6,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.92 : 15,990.98 = 4,091.60 : x
  2. Step 2: Convert to fraction form
    10,659.92/15,990.98 = 4,091.60/x
  3. Step 3: Cross multiply
    10,659.92x = 15,990.98 × 4,091.60
  4. Step 4: Simplify right side
    10,659.92x = 65,428,693.77
  5. Step 5: Solve for x
    x = 65,428,693.77/10,659.92
  6. Step 6: Final answer
    x = 6,137.82

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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.