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Finding the Fourth Proportional to 8,443.71, 11,646.27 and 5,926.38

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Solution

The fourth proportional to 8,443.71, 11,646.27 and 5,926.38 is: 8,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.71 : 11,646.27 = 5,926.38 : x
  2. Step 2: Convert to fraction form
    8,443.71/11,646.27 = 5,926.38/x
  3. Step 3: Cross multiply
    8,443.71x = 11,646.27 × 5,926.38
  4. Step 4: Simplify right side
    8,443.71x = 69,020,227.35
  5. Step 5: Solve for x
    x = 69,020,227.35/8,443.71
  6. Step 6: Final answer
    x = 8,174.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.