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Finding the Fourth Proportional to 7,249.88, 10,884 and 6,032.18

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Solution

The fourth proportional to 7,249.88, 10,884 and 6,032.18 is: 9,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.88 : 10,884 = 6,032.18 : x
  2. Step 2: Convert to fraction form
    7,249.88/10,884 = 6,032.18/x
  3. Step 3: Cross multiply
    7,249.88x = 10,884 × 6,032.18
  4. Step 4: Simplify right side
    7,249.88x = 65,654,247.12
  5. Step 5: Solve for x
    x = 65,654,247.12/7,249.88
  6. Step 6: Final answer
    x = 9,055.91

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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.