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Finding the Fourth Proportional to 7,777.56, 10,734.69 and 5,125.20

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Solution

The fourth proportional to 7,777.56, 10,734.69 and 5,125.20 is: 7,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.56 : 10,734.69 = 5,125.20 : x
  2. Step 2: Convert to fraction form
    7,777.56/10,734.69 = 5,125.20/x
  3. Step 3: Cross multiply
    7,777.56x = 10,734.69 × 5,125.20
  4. Step 4: Simplify right side
    7,777.56x = 55,017,433.19
  5. Step 5: Solve for x
    x = 55,017,433.19/7,777.56
  6. Step 6: Final answer
    x = 7,073.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.