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Finding the Fourth Proportional to 11,076.96, 15,284.40 and 6,108

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Solution

The fourth proportional to 11,076.96, 15,284.40 and 6,108 is: 8,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.96 : 15,284.40 = 6,108 : x
  2. Step 2: Convert to fraction form
    11,076.96/15,284.40 = 6,108/x
  3. Step 3: Cross multiply
    11,076.96x = 15,284.40 × 6,108
  4. Step 4: Simplify right side
    11,076.96x = 93,357,115.20
  5. Step 5: Solve for x
    x = 93,357,115.20/11,076.96
  6. Step 6: Final answer
    x = 8,428.04

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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.