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Finding the Fourth Proportional to 11,084.64, 16,600.53 and 6,394.86

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Solution

The fourth proportional to 11,084.64, 16,600.53 and 6,394.86 is: 9,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.64 : 16,600.53 = 6,394.86 : x
  2. Step 2: Convert to fraction form
    11,084.64/16,600.53 = 6,394.86/x
  3. Step 3: Cross multiply
    11,084.64x = 16,600.53 × 6,394.86
  4. Step 4: Simplify right side
    11,084.64x = 106,158,065.28
  5. Step 5: Solve for x
    x = 106,158,065.28/11,084.64
  6. Step 6: Final answer
    x = 9,577.04

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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.