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Finding the Fourth Proportional to 7,255.83, 10,871.19 and 5,705.76

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Solution

The fourth proportional to 7,255.83, 10,871.19 and 5,705.76 is: 8,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.83 : 10,871.19 = 5,705.76 : x
  2. Step 2: Convert to fraction form
    7,255.83/10,871.19 = 5,705.76/x
  3. Step 3: Cross multiply
    7,255.83x = 10,871.19 × 5,705.76
  4. Step 4: Simplify right side
    7,255.83x = 62,028,401.05
  5. Step 5: Solve for x
    x = 62,028,401.05/7,255.83
  6. Step 6: Final answer
    x = 8,548.77

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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.