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Finding the Fourth Proportional to 8,491.71, 12,736.81 and 2,944.93

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Solution

The fourth proportional to 8,491.71, 12,736.81 and 2,944.93 is: 4,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.71 : 12,736.81 = 2,944.93 : x
  2. Step 2: Convert to fraction form
    8,491.71/12,736.81 = 2,944.93/x
  3. Step 3: Cross multiply
    8,491.71x = 12,736.81 × 2,944.93
  4. Step 4: Simplify right side
    8,491.71x = 37,509,013.87
  5. Step 5: Solve for x
    x = 37,509,013.87/8,491.71
  6. Step 6: Final answer
    x = 4,417.13

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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.