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Finding the Fourth Proportional to 7,167.29, 10,758.83 and 5,417.69

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Solution

The fourth proportional to 7,167.29, 10,758.83 and 5,417.69 is: 8,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.29 : 10,758.83 = 5,417.69 : x
  2. Step 2: Convert to fraction form
    7,167.29/10,758.83 = 5,417.69/x
  3. Step 3: Cross multiply
    7,167.29x = 10,758.83 × 5,417.69
  4. Step 4: Simplify right side
    7,167.29x = 58,287,924.82
  5. Step 5: Solve for x
    x = 58,287,924.82/7,167.29
  6. Step 6: Final answer
    x = 8,132.50

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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.