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Finding the Fourth Proportional to 11,189.72, 15,442.02 and 6,154.16

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Solution

The fourth proportional to 11,189.72, 15,442.02 and 6,154.16 is: 8,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.72 : 15,442.02 = 6,154.16 : x
  2. Step 2: Convert to fraction form
    11,189.72/15,442.02 = 6,154.16/x
  3. Step 3: Cross multiply
    11,189.72x = 15,442.02 × 6,154.16
  4. Step 4: Simplify right side
    11,189.72x = 95,032,584.59
  5. Step 5: Solve for x
    x = 95,032,584.59/11,189.72
  6. Step 6: Final answer
    x = 8,492.85

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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.