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Finding the Fourth Proportional to 10,657.88, 14,708.27 and 5,943.07

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Solution

The fourth proportional to 10,657.88, 14,708.27 and 5,943.07 is: 8,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.88 : 14,708.27 = 5,943.07 : x
  2. Step 2: Convert to fraction form
    10,657.88/14,708.27 = 5,943.07/x
  3. Step 3: Cross multiply
    10,657.88x = 14,708.27 × 5,943.07
  4. Step 4: Simplify right side
    10,657.88x = 87,412,174.93
  5. Step 5: Solve for x
    x = 87,412,174.93/10,657.88
  6. Step 6: Final answer
    x = 8,201.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.