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Finding the Fourth Proportional to 10,186.46, 15,279.72 and 2,791

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Solution

The fourth proportional to 10,186.46, 15,279.72 and 2,791 is: 4,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.46 : 15,279.72 = 2,791 : x
  2. Step 2: Convert to fraction form
    10,186.46/15,279.72 = 2,791/x
  3. Step 3: Cross multiply
    10,186.46x = 15,279.72 × 2,791
  4. Step 4: Simplify right side
    10,186.46x = 42,645,698.52
  5. Step 5: Solve for x
    x = 42,645,698.52/10,186.46
  6. Step 6: Final answer
    x = 4,186.51

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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.