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Finding the Fourth Proportional to 7,714.61, 11,571.80 and 1,871.27

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Solution

The fourth proportional to 7,714.61, 11,571.80 and 1,871.27 is: 2,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.61 : 11,571.80 = 1,871.27 : x
  2. Step 2: Convert to fraction form
    7,714.61/11,571.80 = 1,871.27/x
  3. Step 3: Cross multiply
    7,714.61x = 11,571.80 × 1,871.27
  4. Step 4: Simplify right side
    7,714.61x = 21,653,894.97
  5. Step 5: Solve for x
    x = 21,653,894.97/7,714.61
  6. Step 6: Final answer
    x = 2,806.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.