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Finding the Fourth Proportional to 11,402.16, 15,734.87 and 6,366.60

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Solution

The fourth proportional to 11,402.16, 15,734.87 and 6,366.60 is: 8,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.16 : 15,734.87 = 6,366.60 : x
  2. Step 2: Convert to fraction form
    11,402.16/15,734.87 = 6,366.60/x
  3. Step 3: Cross multiply
    11,402.16x = 15,734.87 × 6,366.60
  4. Step 4: Simplify right side
    11,402.16x = 100,177,623.34
  5. Step 5: Solve for x
    x = 100,177,623.34/11,402.16
  6. Step 6: Final answer
    x = 8,785.85

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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.