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Finding the Fourth Proportional to 7,865.82, 10,855.12 and 4,329.30

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Solution

The fourth proportional to 7,865.82, 10,855.12 and 4,329.30 is: 5,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.82 : 10,855.12 = 4,329.30 : x
  2. Step 2: Convert to fraction form
    7,865.82/10,855.12 = 4,329.30/x
  3. Step 3: Cross multiply
    7,865.82x = 10,855.12 × 4,329.30
  4. Step 4: Simplify right side
    7,865.82x = 46,995,071.02
  5. Step 5: Solve for x
    x = 46,995,071.02/7,865.82
  6. Step 6: Final answer
    x = 5,974.59

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