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Finding the Fourth Proportional to 7,805.93, 10,772.18 and 4,269.12

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Solution

The fourth proportional to 7,805.93, 10,772.18 and 4,269.12 is: 5,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.93 : 10,772.18 = 4,269.12 : x
  2. Step 2: Convert to fraction form
    7,805.93/10,772.18 = 4,269.12/x
  3. Step 3: Cross multiply
    7,805.93x = 10,772.18 × 4,269.12
  4. Step 4: Simplify right side
    7,805.93x = 45,987,707.74
  5. Step 5: Solve for x
    x = 45,987,707.74/7,805.93
  6. Step 6: Final answer
    x = 5,891.38

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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.