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Finding the Fourth Proportional to 8,230.34, 12,345.62 and 4,079.09

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Solution

The fourth proportional to 8,230.34, 12,345.62 and 4,079.09 is: 6,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.34 : 12,345.62 = 4,079.09 : x
  2. Step 2: Convert to fraction form
    8,230.34/12,345.62 = 4,079.09/x
  3. Step 3: Cross multiply
    8,230.34x = 12,345.62 × 4,079.09
  4. Step 4: Simplify right side
    8,230.34x = 50,358,905.55
  5. Step 5: Solve for x
    x = 50,358,905.55/8,230.34
  6. Step 6: Final answer
    x = 6,118.69

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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.