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Finding the Fourth Proportional to 7,095.84, 10,644.16 and 2,166.24

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Solution

The fourth proportional to 7,095.84, 10,644.16 and 2,166.24 is: 3,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.84 : 10,644.16 = 2,166.24 : x
  2. Step 2: Convert to fraction form
    7,095.84/10,644.16 = 2,166.24/x
  3. Step 3: Cross multiply
    7,095.84x = 10,644.16 × 2,166.24
  4. Step 4: Simplify right side
    7,095.84x = 23,057,805.16
  5. Step 5: Solve for x
    x = 23,057,805.16/7,095.84
  6. Step 6: Final answer
    x = 3,249.48

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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.