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Finding the Fourth Proportional to 15,112.72, 22,671.96 and 5,878

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Solution

The fourth proportional to 15,112.72, 22,671.96 and 5,878 is: 8,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.72 : 22,671.96 = 5,878 : x
  2. Step 2: Convert to fraction form
    15,112.72/22,671.96 = 5,878/x
  3. Step 3: Cross multiply
    15,112.72x = 22,671.96 × 5,878
  4. Step 4: Simplify right side
    15,112.72x = 133,265,780.88
  5. Step 5: Solve for x
    x = 133,265,780.88/15,112.72
  6. Step 6: Final answer
    x = 8,818.12

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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.