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Finding the Fourth Proportional to 10,951.66, 15,114.78 and 6,478.03

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Solution

The fourth proportional to 10,951.66, 15,114.78 and 6,478.03 is: 8,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.66 : 15,114.78 = 6,478.03 : x
  2. Step 2: Convert to fraction form
    10,951.66/15,114.78 = 6,478.03/x
  3. Step 3: Cross multiply
    10,951.66x = 15,114.78 × 6,478.03
  4. Step 4: Simplify right side
    10,951.66x = 97,913,998.28
  5. Step 5: Solve for x
    x = 97,913,998.28/10,951.66
  6. Step 6: Final answer
    x = 8,940.56

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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.