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Finding the Fourth Proportional to 7,083.68, 9,775.08 and 3,939.66

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Solution

The fourth proportional to 7,083.68, 9,775.08 and 3,939.66 is: 5,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.68 : 9,775.08 = 3,939.66 : x
  2. Step 2: Convert to fraction form
    7,083.68/9,775.08 = 3,939.66/x
  3. Step 3: Cross multiply
    7,083.68x = 9,775.08 × 3,939.66
  4. Step 4: Simplify right side
    7,083.68x = 38,510,491.67
  5. Step 5: Solve for x
    x = 38,510,491.67/7,083.68
  6. Step 6: Final answer
    x = 5,436.51

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Why These Related Problems?

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