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Finding the Fourth Proportional to 8,302.74, 12,454.08 and 2,062.71

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Solution

The fourth proportional to 8,302.74, 12,454.08 and 2,062.71 is: 3,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.74 : 12,454.08 = 2,062.71 : x
  2. Step 2: Convert to fraction form
    8,302.74/12,454.08 = 2,062.71/x
  3. Step 3: Cross multiply
    8,302.74x = 12,454.08 × 2,062.71
  4. Step 4: Simplify right side
    8,302.74x = 25,689,158.63
  5. Step 5: Solve for x
    x = 25,689,158.63/8,302.74
  6. Step 6: Final answer
    x = 3,094.06

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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.