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Finding the Fourth Proportional to 7,765, 10,716.42 and 4,453

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Solution

The fourth proportional to 7,765, 10,716.42 and 4,453 is: 6,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765 : 10,716.42 = 4,453 : x
  2. Step 2: Convert to fraction form
    7,765/10,716.42 = 4,453/x
  3. Step 3: Cross multiply
    7,765x = 10,716.42 × 4,453
  4. Step 4: Simplify right side
    7,765x = 47,720,218.26
  5. Step 5: Solve for x
    x = 47,720,218.26/7,765
  6. Step 6: Final answer
    x = 6,145.55

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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.