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Finding the Fourth Proportional to 8,491.06, 12,731.10 and 2,944

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Solution

The fourth proportional to 8,491.06, 12,731.10 and 2,944 is: 4,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.06 : 12,731.10 = 2,944 : x
  2. Step 2: Convert to fraction form
    8,491.06/12,731.10 = 2,944/x
  3. Step 3: Cross multiply
    8,491.06x = 12,731.10 × 2,944
  4. Step 4: Simplify right side
    8,491.06x = 37,480,358.40
  5. Step 5: Solve for x
    x = 37,480,358.40/8,491.06
  6. Step 6: Final answer
    x = 4,414.10

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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.