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Finding the Fourth Proportional to 11,132.90, 15,363.09 and 6,164.90

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Solution

The fourth proportional to 11,132.90, 15,363.09 and 6,164.90 is: 8,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.90 : 15,363.09 = 6,164.90 : x
  2. Step 2: Convert to fraction form
    11,132.90/15,363.09 = 6,164.90/x
  3. Step 3: Cross multiply
    11,132.90x = 15,363.09 × 6,164.90
  4. Step 4: Simplify right side
    11,132.90x = 94,711,913.54
  5. Step 5: Solve for x
    x = 94,711,913.54/11,132.90
  6. Step 6: Final answer
    x = 8,507.39

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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.