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Finding the Fourth Proportional to 7,913.34, 11,871.23 and 2,718

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Solution

The fourth proportional to 7,913.34, 11,871.23 and 2,718 is: 4,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.34 : 11,871.23 = 2,718 : x
  2. Step 2: Convert to fraction form
    7,913.34/11,871.23 = 2,718/x
  3. Step 3: Cross multiply
    7,913.34x = 11,871.23 × 2,718
  4. Step 4: Simplify right side
    7,913.34x = 32,265,989.55
  5. Step 5: Solve for x
    x = 32,265,989.55/7,913.34
  6. Step 6: Final answer
    x = 4,077.42

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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.