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Finding the Fourth Proportional to 11,059.20, 15,246.08 and 6,864.64

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Solution

The fourth proportional to 11,059.20, 15,246.08 and 6,864.64 is: 9,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.20 : 15,246.08 = 6,864.64 : x
  2. Step 2: Convert to fraction form
    11,059.20/15,246.08 = 6,864.64/x
  3. Step 3: Cross multiply
    11,059.20x = 15,246.08 × 6,864.64
  4. Step 4: Simplify right side
    11,059.20x = 104,658,850.61
  5. Step 5: Solve for x
    x = 104,658,850.61/11,059.20
  6. Step 6: Final answer
    x = 9,463.51

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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.