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Finding the Fourth Proportional to 8,230.86, 12,345.57 and 2,386.62

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Solution

The fourth proportional to 8,230.86, 12,345.57 and 2,386.62 is: 3,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.86 : 12,345.57 = 2,386.62 : x
  2. Step 2: Convert to fraction form
    8,230.86/12,345.57 = 2,386.62/x
  3. Step 3: Cross multiply
    8,230.86x = 12,345.57 × 2,386.62
  4. Step 4: Simplify right side
    8,230.86x = 29,464,184.27
  5. Step 5: Solve for x
    x = 29,464,184.27/8,230.86
  6. Step 6: Final answer
    x = 3,579.72

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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.