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Finding the Fourth Proportional to 11,416.60, 15,753.88 and 6,380.16

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Solution

The fourth proportional to 11,416.60, 15,753.88 and 6,380.16 is: 8,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.60 : 15,753.88 = 6,380.16 : x
  2. Step 2: Convert to fraction form
    11,416.60/15,753.88 = 6,380.16/x
  3. Step 3: Cross multiply
    11,416.60x = 15,753.88 × 6,380.16
  4. Step 4: Simplify right side
    11,416.60x = 100,512,275.02
  5. Step 5: Solve for x
    x = 100,512,275.02/11,416.60
  6. Step 6: Final answer
    x = 8,804.05

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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.