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Finding the Fourth Proportional to 11,149.02, 15,383.16 and 6,432.48

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Solution

The fourth proportional to 11,149.02, 15,383.16 and 6,432.48 is: 8,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.02 : 15,383.16 = 6,432.48 : x
  2. Step 2: Convert to fraction form
    11,149.02/15,383.16 = 6,432.48/x
  3. Step 3: Cross multiply
    11,149.02x = 15,383.16 × 6,432.48
  4. Step 4: Simplify right side
    11,149.02x = 98,951,869.04
  5. Step 5: Solve for x
    x = 98,951,869.04/11,149.02
  6. Step 6: Final answer
    x = 8,875.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.