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Finding the Fourth Proportional to 8,230.93, 12,344.19 and 2,307.49

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Solution

The fourth proportional to 8,230.93, 12,344.19 and 2,307.49 is: 3,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.93 : 12,344.19 = 2,307.49 : x
  2. Step 2: Convert to fraction form
    8,230.93/12,344.19 = 2,307.49/x
  3. Step 3: Cross multiply
    8,230.93x = 12,344.19 × 2,307.49
  4. Step 4: Simplify right side
    8,230.93x = 28,484,064.12
  5. Step 5: Solve for x
    x = 28,484,064.12/8,230.93
  6. Step 6: Final answer
    x = 3,460.61

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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.