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Finding the Fourth Proportional to 10,659.88, 14,710.66 and 5,944.06

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Solution

The fourth proportional to 10,659.88, 14,710.66 and 5,944.06 is: 8,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.88 : 14,710.66 = 5,944.06 : x
  2. Step 2: Convert to fraction form
    10,659.88/14,710.66 = 5,944.06/x
  3. Step 3: Cross multiply
    10,659.88x = 14,710.66 × 5,944.06
  4. Step 4: Simplify right side
    10,659.88x = 87,441,045.68
  5. Step 5: Solve for x
    x = 87,441,045.68/10,659.88
  6. Step 6: Final answer
    x = 8,202.82

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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.