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Finding the Fourth Proportional to 7,717.66, 11,590.62 and 7,067.04

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Solution

The fourth proportional to 7,717.66, 11,590.62 and 7,067.04 is: 10,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.66 : 11,590.62 = 7,067.04 : x
  2. Step 2: Convert to fraction form
    7,717.66/11,590.62 = 7,067.04/x
  3. Step 3: Cross multiply
    7,717.66x = 11,590.62 × 7,067.04
  4. Step 4: Simplify right side
    7,717.66x = 81,911,375.16
  5. Step 5: Solve for x
    x = 81,911,375.16/7,717.66
  6. Step 6: Final answer
    x = 10,613.50

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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.