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Finding the Fourth Proportional to 10,969.78, 15,138.18 and 6,253.78

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Solution

The fourth proportional to 10,969.78, 15,138.18 and 6,253.78 is: 8,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.78 : 15,138.18 = 6,253.78 : x
  2. Step 2: Convert to fraction form
    10,969.78/15,138.18 = 6,253.78/x
  3. Step 3: Cross multiply
    10,969.78x = 15,138.18 × 6,253.78
  4. Step 4: Simplify right side
    10,969.78x = 94,670,847.32
  5. Step 5: Solve for x
    x = 94,670,847.32/10,969.78
  6. Step 6: Final answer
    x = 8,630.15

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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.