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Finding the Fourth Proportional to 7,013.86, 10,514.28 and 3,681.42

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Solution

The fourth proportional to 7,013.86, 10,514.28 and 3,681.42 is: 5,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.86 : 10,514.28 = 3,681.42 : x
  2. Step 2: Convert to fraction form
    7,013.86/10,514.28 = 3,681.42/x
  3. Step 3: Cross multiply
    7,013.86x = 10,514.28 × 3,681.42
  4. Step 4: Simplify right side
    7,013.86x = 38,707,480.68
  5. Step 5: Solve for x
    x = 38,707,480.68/7,013.86
  6. Step 6: Final answer
    x = 5,518.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.