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Finding the Fourth Proportional to 10,877.62, 15,013.53 and 6,164.50

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Solution

The fourth proportional to 10,877.62, 15,013.53 and 6,164.50 is: 8,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.62 : 15,013.53 = 6,164.50 : x
  2. Step 2: Convert to fraction form
    10,877.62/15,013.53 = 6,164.50/x
  3. Step 3: Cross multiply
    10,877.62x = 15,013.53 × 6,164.50
  4. Step 4: Simplify right side
    10,877.62x = 92,550,905.69
  5. Step 5: Solve for x
    x = 92,550,905.69/10,877.62
  6. Step 6: Final answer
    x = 8,508.38

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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.