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Finding the Fourth Proportional to 10,878.78, 15,013.78 and 6,099.54

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Solution

The fourth proportional to 10,878.78, 15,013.78 and 6,099.54 is: 8,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.78 : 15,013.78 = 6,099.54 : x
  2. Step 2: Convert to fraction form
    10,878.78/15,013.78 = 6,099.54/x
  3. Step 3: Cross multiply
    10,878.78x = 15,013.78 × 6,099.54
  4. Step 4: Simplify right side
    10,878.78x = 91,577,151.66
  5. Step 5: Solve for x
    x = 91,577,151.66/10,878.78
  6. Step 6: Final answer
    x = 8,417.96

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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.