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Finding the Fourth Proportional to 10,876.20, 15,009.09 and 6,160.68

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Solution

The fourth proportional to 10,876.20, 15,009.09 and 6,160.68 is: 8,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.20 : 15,009.09 = 6,160.68 : x
  2. Step 2: Convert to fraction form
    10,876.20/15,009.09 = 6,160.68/x
  3. Step 3: Cross multiply
    10,876.20x = 15,009.09 × 6,160.68
  4. Step 4: Simplify right side
    10,876.20x = 92,466,200.58
  5. Step 5: Solve for x
    x = 92,466,200.58/10,876.20
  6. Step 6: Final answer
    x = 8,501.70

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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.