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Finding the Fourth Proportional to 7,257.77, 10,837.52 and 5,760.20

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Solution

The fourth proportional to 7,257.77, 10,837.52 and 5,760.20 is: 8,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.77 : 10,837.52 = 5,760.20 : x
  2. Step 2: Convert to fraction form
    7,257.77/10,837.52 = 5,760.20/x
  3. Step 3: Cross multiply
    7,257.77x = 10,837.52 × 5,760.20
  4. Step 4: Simplify right side
    7,257.77x = 62,426,249.74
  5. Step 5: Solve for x
    x = 62,426,249.74/7,257.77
  6. Step 6: Final answer
    x = 8,601.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.