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Finding the Fourth Proportional to 8,034.24, 12,048.58 and 3,817

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Solution

The fourth proportional to 8,034.24, 12,048.58 and 3,817 is: 5,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.24 : 12,048.58 = 3,817 : x
  2. Step 2: Convert to fraction form
    8,034.24/12,048.58 = 3,817/x
  3. Step 3: Cross multiply
    8,034.24x = 12,048.58 × 3,817
  4. Step 4: Simplify right side
    8,034.24x = 45,989,429.86
  5. Step 5: Solve for x
    x = 45,989,429.86/8,034.24
  6. Step 6: Final answer
    x = 5,724.18

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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.