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Finding the Fourth Proportional to 11,182.69, 15,432.30 and 6,147.12

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Solution

The fourth proportional to 11,182.69, 15,432.30 and 6,147.12 is: 8,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.69 : 15,432.30 = 6,147.12 : x
  2. Step 2: Convert to fraction form
    11,182.69/15,432.30 = 6,147.12/x
  3. Step 3: Cross multiply
    11,182.69x = 15,432.30 × 6,147.12
  4. Step 4: Simplify right side
    11,182.69x = 94,864,246.91
  5. Step 5: Solve for x
    x = 94,864,246.91/11,182.69
  6. Step 6: Final answer
    x = 8,483.13

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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.