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Finding the Fourth Proportional to 6,871.83, 10,294.48 and 4,100.72

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Solution

The fourth proportional to 6,871.83, 10,294.48 and 4,100.72 is: 6,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.83 : 10,294.48 = 4,100.72 : x
  2. Step 2: Convert to fraction form
    6,871.83/10,294.48 = 4,100.72/x
  3. Step 3: Cross multiply
    6,871.83x = 10,294.48 × 4,100.72
  4. Step 4: Simplify right side
    6,871.83x = 42,214,780.03
  5. Step 5: Solve for x
    x = 42,214,780.03/6,871.83
  6. Step 6: Final answer
    x = 6,143.16

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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.