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Finding the Fourth Proportional to 7,444, 11,167.68 and 5,256.88

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Solution

The fourth proportional to 7,444, 11,167.68 and 5,256.88 is: 7,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444 : 11,167.68 = 5,256.88 : x
  2. Step 2: Convert to fraction form
    7,444/11,167.68 = 5,256.88/x
  3. Step 3: Cross multiply
    7,444x = 11,167.68 × 5,256.88
  4. Step 4: Simplify right side
    7,444x = 58,707,153.64
  5. Step 5: Solve for x
    x = 58,707,153.64/7,444
  6. Step 6: Final answer
    x = 7,886.51

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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.