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Finding the Fourth Proportional to 10,894.89, 15,034.68 and 6,358.44

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Solution

The fourth proportional to 10,894.89, 15,034.68 and 6,358.44 is: 8,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.89 : 15,034.68 = 6,358.44 : x
  2. Step 2: Convert to fraction form
    10,894.89/15,034.68 = 6,358.44/x
  3. Step 3: Cross multiply
    10,894.89x = 15,034.68 × 6,358.44
  4. Step 4: Simplify right side
    10,894.89x = 95,597,110.70
  5. Step 5: Solve for x
    x = 95,597,110.70/10,894.89
  6. Step 6: Final answer
    x = 8,774.49

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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.