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Finding the Fourth Proportional to 8,306.56, 12,458.56 and 2,760

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Solution

The fourth proportional to 8,306.56, 12,458.56 and 2,760 is: 4,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.56 : 12,458.56 = 2,760 : x
  2. Step 2: Convert to fraction form
    8,306.56/12,458.56 = 2,760/x
  3. Step 3: Cross multiply
    8,306.56x = 12,458.56 × 2,760
  4. Step 4: Simplify right side
    8,306.56x = 34,385,625.60
  5. Step 5: Solve for x
    x = 34,385,625.60/8,306.56
  6. Step 6: Final answer
    x = 4,139.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.