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Finding the Fourth Proportional to 7,987.68, 11,979.48 and 5,215.86

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Solution

The fourth proportional to 7,987.68, 11,979.48 and 5,215.86 is: 7,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.68 : 11,979.48 = 5,215.86 : x
  2. Step 2: Convert to fraction form
    7,987.68/11,979.48 = 5,215.86/x
  3. Step 3: Cross multiply
    7,987.68x = 11,979.48 × 5,215.86
  4. Step 4: Simplify right side
    7,987.68x = 62,483,290.55
  5. Step 5: Solve for x
    x = 62,483,290.55/7,987.68
  6. Step 6: Final answer
    x = 7,822.46

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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.