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Finding the Fourth Proportional to 8,149.79, 12,225.71 and 2,306.40

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Solution

The fourth proportional to 8,149.79, 12,225.71 and 2,306.40 is: 3,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.79 : 12,225.71 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    8,149.79/12,225.71 = 2,306.40/x
  3. Step 3: Cross multiply
    8,149.79x = 12,225.71 × 2,306.40
  4. Step 4: Simplify right side
    8,149.79x = 28,197,383.31
  5. Step 5: Solve for x
    x = 28,197,383.31/8,149.79
  6. Step 6: Final answer
    x = 3,459.89

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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.