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Finding the Fourth Proportional to 7,297.29, 10,947.15 and 2,365.91

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Solution

The fourth proportional to 7,297.29, 10,947.15 and 2,365.91 is: 3,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.29 : 10,947.15 = 2,365.91 : x
  2. Step 2: Convert to fraction form
    7,297.29/10,947.15 = 2,365.91/x
  3. Step 3: Cross multiply
    7,297.29x = 10,947.15 × 2,365.91
  4. Step 4: Simplify right side
    7,297.29x = 25,899,957.97
  5. Step 5: Solve for x
    x = 25,899,957.97/7,297.29
  6. Step 6: Final answer
    x = 3,549.26

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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.