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Finding the Fourth Proportional to 11,078, 15,288.72 and 6,110

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Solution

The fourth proportional to 11,078, 15,288.72 and 6,110 is: 8,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078 : 15,288.72 = 6,110 : x
  2. Step 2: Convert to fraction form
    11,078/15,288.72 = 6,110/x
  3. Step 3: Cross multiply
    11,078x = 15,288.72 × 6,110
  4. Step 4: Simplify right side
    11,078x = 93,414,079.20
  5. Step 5: Solve for x
    x = 93,414,079.20/11,078
  6. Step 6: Final answer
    x = 8,432.40

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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.