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Finding the Fourth Proportional to 8,279.12, 12,402.02 and 3,830.52

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Solution

The fourth proportional to 8,279.12, 12,402.02 and 3,830.52 is: 5,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.12 : 12,402.02 = 3,830.52 : x
  2. Step 2: Convert to fraction form
    8,279.12/12,402.02 = 3,830.52/x
  3. Step 3: Cross multiply
    8,279.12x = 12,402.02 × 3,830.52
  4. Step 4: Simplify right side
    8,279.12x = 47,506,185.65
  5. Step 5: Solve for x
    x = 47,506,185.65/8,279.12
  6. Step 6: Final answer
    x = 5,738.07

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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.