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Finding the Fourth Proportional to 10,686.42, 14,747.94 and 5,971.05

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Solution

The fourth proportional to 10,686.42, 14,747.94 and 5,971.05 is: 8,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.42 : 14,747.94 = 5,971.05 : x
  2. Step 2: Convert to fraction form
    10,686.42/14,747.94 = 5,971.05/x
  3. Step 3: Cross multiply
    10,686.42x = 14,747.94 × 5,971.05
  4. Step 4: Simplify right side
    10,686.42x = 88,060,687.14
  5. Step 5: Solve for x
    x = 88,060,687.14/10,686.42
  6. Step 6: Final answer
    x = 8,240.43

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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.