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Finding the Fourth Proportional to 7,057.27, 10,565.09 and 5,216.61

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Solution

The fourth proportional to 7,057.27, 10,565.09 and 5,216.61 is: 7,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.27 : 10,565.09 = 5,216.61 : x
  2. Step 2: Convert to fraction form
    7,057.27/10,565.09 = 5,216.61/x
  3. Step 3: Cross multiply
    7,057.27x = 10,565.09 × 5,216.61
  4. Step 4: Simplify right side
    7,057.27x = 55,113,954.14
  5. Step 5: Solve for x
    x = 55,113,954.14/7,057.27
  6. Step 6: Final answer
    x = 7,809.53

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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.