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Finding the Fourth Proportional to 8,007.82, 12,011.74 and 2,461.13

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Solution

The fourth proportional to 8,007.82, 12,011.74 and 2,461.13 is: 3,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.82 : 12,011.74 = 2,461.13 : x
  2. Step 2: Convert to fraction form
    8,007.82/12,011.74 = 2,461.13/x
  3. Step 3: Cross multiply
    8,007.82x = 12,011.74 × 2,461.13
  4. Step 4: Simplify right side
    8,007.82x = 29,562,432.50
  5. Step 5: Solve for x
    x = 29,562,432.50/8,007.82
  6. Step 6: Final answer
    x = 3,691.70

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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.