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Finding the Fourth Proportional to 8,714.71, 13,072.61 and 2,871.37

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Solution

The fourth proportional to 8,714.71, 13,072.61 and 2,871.37 is: 4,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.71 : 13,072.61 = 2,871.37 : x
  2. Step 2: Convert to fraction form
    8,714.71/13,072.61 = 2,871.37/x
  3. Step 3: Cross multiply
    8,714.71x = 13,072.61 × 2,871.37
  4. Step 4: Simplify right side
    8,714.71x = 37,536,300.18
  5. Step 5: Solve for x
    x = 37,536,300.18/8,714.71
  6. Step 6: Final answer
    x = 4,307.23

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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.