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Finding the Fourth Proportional to 6,993.78, 10,488.87 and 2,832.57

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Solution

The fourth proportional to 6,993.78, 10,488.87 and 2,832.57 is: 4,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.78 : 10,488.87 = 2,832.57 : x
  2. Step 2: Convert to fraction form
    6,993.78/10,488.87 = 2,832.57/x
  3. Step 3: Cross multiply
    6,993.78x = 10,488.87 × 2,832.57
  4. Step 4: Simplify right side
    6,993.78x = 29,710,458.50
  5. Step 5: Solve for x
    x = 29,710,458.50/6,993.78
  6. Step 6: Final answer
    x = 4,248.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.