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Finding the Fourth Proportional to 7,722.29, 10,658.66 and 5,073.28

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Solution

The fourth proportional to 7,722.29, 10,658.66 and 5,073.28 is: 7,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.29 : 10,658.66 = 5,073.28 : x
  2. Step 2: Convert to fraction form
    7,722.29/10,658.66 = 5,073.28/x
  3. Step 3: Cross multiply
    7,722.29x = 10,658.66 × 5,073.28
  4. Step 4: Simplify right side
    7,722.29x = 54,074,417.35
  5. Step 5: Solve for x
    x = 54,074,417.35/7,722.29
  6. Step 6: Final answer
    x = 7,002.38

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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.