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Finding the Fourth Proportional to 10,239.84, 14,131.68 and 5,764.02

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Solution

The fourth proportional to 10,239.84, 14,131.68 and 5,764.02 is: 7,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.84 : 14,131.68 = 5,764.02 : x
  2. Step 2: Convert to fraction form
    10,239.84/14,131.68 = 5,764.02/x
  3. Step 3: Cross multiply
    10,239.84x = 14,131.68 × 5,764.02
  4. Step 4: Simplify right side
    10,239.84x = 81,455,286.15
  5. Step 5: Solve for x
    x = 81,455,286.15/10,239.84
  6. Step 6: Final answer
    x = 7,954.74

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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.