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Finding the Fourth Proportional to 10,876.76, 15,006.35 and 6,096

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Solution

The fourth proportional to 10,876.76, 15,006.35 and 6,096 is: 8,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.76 : 15,006.35 = 6,096 : x
  2. Step 2: Convert to fraction form
    10,876.76/15,006.35 = 6,096/x
  3. Step 3: Cross multiply
    10,876.76x = 15,006.35 × 6,096
  4. Step 4: Simplify right side
    10,876.76x = 91,478,724.84
  5. Step 5: Solve for x
    x = 91,478,724.84/10,876.76
  6. Step 6: Final answer
    x = 8,410.48

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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.