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Finding the Fourth Proportional to 10,659.87, 14,710.82 and 5,943.65

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Solution

The fourth proportional to 10,659.87, 14,710.82 and 5,943.65 is: 8,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.87 : 14,710.82 = 5,943.65 : x
  2. Step 2: Convert to fraction form
    10,659.87/14,710.82 = 5,943.65/x
  3. Step 3: Cross multiply
    10,659.87x = 14,710.82 × 5,943.65
  4. Step 4: Simplify right side
    10,659.87x = 87,435,862.02
  5. Step 5: Solve for x
    x = 87,435,862.02/10,659.87
  6. Step 6: Final answer
    x = 8,202.34

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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.