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Finding the Fourth Proportional to 10,894.78, 15,034.62 and 6,114.76

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Solution

The fourth proportional to 10,894.78, 15,034.62 and 6,114.76 is: 8,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.78 : 15,034.62 = 6,114.76 : x
  2. Step 2: Convert to fraction form
    10,894.78/15,034.62 = 6,114.76/x
  3. Step 3: Cross multiply
    10,894.78x = 15,034.62 × 6,114.76
  4. Step 4: Simplify right side
    10,894.78x = 91,933,092.99
  5. Step 5: Solve for x
    x = 91,933,092.99/10,894.78
  6. Step 6: Final answer
    x = 8,438.27

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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.