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Finding the Fourth Proportional to 7,309.61, 10,087.27 and 3,952.43

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Solution

The fourth proportional to 7,309.61, 10,087.27 and 3,952.43 is: 5,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.61 : 10,087.27 = 3,952.43 : x
  2. Step 2: Convert to fraction form
    7,309.61/10,087.27 = 3,952.43/x
  3. Step 3: Cross multiply
    7,309.61x = 10,087.27 × 3,952.43
  4. Step 4: Simplify right side
    7,309.61x = 39,869,206.08
  5. Step 5: Solve for x
    x = 39,869,206.08/7,309.61
  6. Step 6: Final answer
    x = 5,454.36

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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.