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Finding the Fourth Proportional to 7,003.89, 10,509.48 and 5,514

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Solution

The fourth proportional to 7,003.89, 10,509.48 and 5,514 is: 8,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.89 : 10,509.48 = 5,514 : x
  2. Step 2: Convert to fraction form
    7,003.89/10,509.48 = 5,514/x
  3. Step 3: Cross multiply
    7,003.89x = 10,509.48 × 5,514
  4. Step 4: Simplify right side
    7,003.89x = 57,949,272.72
  5. Step 5: Solve for x
    x = 57,949,272.72/7,003.89
  6. Step 6: Final answer
    x = 8,273.87

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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.