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Finding the Fourth Proportional to 7,792.49, 10,758 and 5,144.55

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Solution

The fourth proportional to 7,792.49, 10,758 and 5,144.55 is: 7,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.49 : 10,758 = 5,144.55 : x
  2. Step 2: Convert to fraction form
    7,792.49/10,758 = 5,144.55/x
  3. Step 3: Cross multiply
    7,792.49x = 10,758 × 5,144.55
  4. Step 4: Simplify right side
    7,792.49x = 55,345,068.90
  5. Step 5: Solve for x
    x = 55,345,068.90/7,792.49
  6. Step 6: Final answer
    x = 7,102.36

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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.