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Finding the Fourth Proportional to 11,304.16, 15,599.24 and 6,199.78

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Solution

The fourth proportional to 11,304.16, 15,599.24 and 6,199.78 is: 8,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.16 : 15,599.24 = 6,199.78 : x
  2. Step 2: Convert to fraction form
    11,304.16/15,599.24 = 6,199.78/x
  3. Step 3: Cross multiply
    11,304.16x = 15,599.24 × 6,199.78
  4. Step 4: Simplify right side
    11,304.16x = 96,711,856.17
  5. Step 5: Solve for x
    x = 96,711,856.17/11,304.16
  6. Step 6: Final answer
    x = 8,555.42

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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.