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Finding the Fourth Proportional to 10,251.56, 14,146.71 and 5,714

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Solution

The fourth proportional to 10,251.56, 14,146.71 and 5,714 is: 7,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.56 : 14,146.71 = 5,714 : x
  2. Step 2: Convert to fraction form
    10,251.56/14,146.71 = 5,714/x
  3. Step 3: Cross multiply
    10,251.56x = 14,146.71 × 5,714
  4. Step 4: Simplify right side
    10,251.56x = 80,834,300.94
  5. Step 5: Solve for x
    x = 80,834,300.94/10,251.56
  6. Step 6: Final answer
    x = 7,885.07

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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.