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Finding the Fourth Proportional to 8,614.51, 11,884.38 and 5,256.04

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Solution

The fourth proportional to 8,614.51, 11,884.38 and 5,256.04 is: 7,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.51 : 11,884.38 = 5,256.04 : x
  2. Step 2: Convert to fraction form
    8,614.51/11,884.38 = 5,256.04/x
  3. Step 3: Cross multiply
    8,614.51x = 11,884.38 × 5,256.04
  4. Step 4: Simplify right side
    8,614.51x = 62,464,776.66
  5. Step 5: Solve for x
    x = 62,464,776.66/8,614.51
  6. Step 6: Final answer
    x = 7,251.11

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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.