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Finding the Fourth Proportional to 11,148.12, 15,384.40 and 6,432.40

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Solution

The fourth proportional to 11,148.12, 15,384.40 and 6,432.40 is: 8,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.12 : 15,384.40 = 6,432.40 : x
  2. Step 2: Convert to fraction form
    11,148.12/15,384.40 = 6,432.40/x
  3. Step 3: Cross multiply
    11,148.12x = 15,384.40 × 6,432.40
  4. Step 4: Simplify right side
    11,148.12x = 98,958,617.71
  5. Step 5: Solve for x
    x = 98,958,617.71/11,148.12
  6. Step 6: Final answer
    x = 8,876.71

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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.