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Finding the Fourth Proportional to 7,151.38, 9,862.09 and 5,472.86

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Solution

The fourth proportional to 7,151.38, 9,862.09 and 5,472.86 is: 7,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.38 : 9,862.09 = 5,472.86 : x
  2. Step 2: Convert to fraction form
    7,151.38/9,862.09 = 5,472.86/x
  3. Step 3: Cross multiply
    7,151.38x = 9,862.09 × 5,472.86
  4. Step 4: Simplify right side
    7,151.38x = 53,973,774.88
  5. Step 5: Solve for x
    x = 53,973,774.88/7,151.38
  6. Step 6: Final answer
    x = 7,547.33

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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.