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Finding the Fourth Proportional to 10,138.86, 15,215.94 and 6,627.96

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Solution

The fourth proportional to 10,138.86, 15,215.94 and 6,627.96 is: 9,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.86 : 15,215.94 = 6,627.96 : x
  2. Step 2: Convert to fraction form
    10,138.86/15,215.94 = 6,627.96/x
  3. Step 3: Cross multiply
    10,138.86x = 15,215.94 × 6,627.96
  4. Step 4: Simplify right side
    10,138.86x = 100,850,641.68
  5. Step 5: Solve for x
    x = 100,850,641.68/10,138.86
  6. Step 6: Final answer
    x = 9,946.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.