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Finding the Fourth Proportional to 7,866.16, 10,855.22 and 4,329.29

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Solution

The fourth proportional to 7,866.16, 10,855.22 and 4,329.29 is: 5,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.16 : 10,855.22 = 4,329.29 : x
  2. Step 2: Convert to fraction form
    7,866.16/10,855.22 = 4,329.29/x
  3. Step 3: Cross multiply
    7,866.16x = 10,855.22 × 4,329.29
  4. Step 4: Simplify right side
    7,866.16x = 46,995,400.89
  5. Step 5: Solve for x
    x = 46,995,400.89/7,866.16
  6. Step 6: Final answer
    x = 5,974.38

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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.