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Finding the Fourth Proportional to 10,686.84, 14,748.11 and 5,971.42

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Solution

The fourth proportional to 10,686.84, 14,748.11 and 5,971.42 is: 8,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.84 : 14,748.11 = 5,971.42 : x
  2. Step 2: Convert to fraction form
    10,686.84/14,748.11 = 5,971.42/x
  3. Step 3: Cross multiply
    10,686.84x = 14,748.11 × 5,971.42
  4. Step 4: Simplify right side
    10,686.84x = 88,067,159.02
  5. Step 5: Solve for x
    x = 88,067,159.02/10,686.84
  6. Step 6: Final answer
    x = 8,240.71

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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.