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Finding the Fourth Proportional to 8,230.47, 12,346.92 and 2,386.32

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Solution

The fourth proportional to 8,230.47, 12,346.92 and 2,386.32 is: 3,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.47 : 12,346.92 = 2,386.32 : x
  2. Step 2: Convert to fraction form
    8,230.47/12,346.92 = 2,386.32/x
  3. Step 3: Cross multiply
    8,230.47x = 12,346.92 × 2,386.32
  4. Step 4: Simplify right side
    8,230.47x = 29,463,702.13
  5. Step 5: Solve for x
    x = 29,463,702.13/8,230.47
  6. Step 6: Final answer
    x = 3,579.83

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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.