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Finding the Fourth Proportional to 7,144.25, 10,674.98 and 5,160.47

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Solution

The fourth proportional to 7,144.25, 10,674.98 and 5,160.47 is: 7,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.25 : 10,674.98 = 5,160.47 : x
  2. Step 2: Convert to fraction form
    7,144.25/10,674.98 = 5,160.47/x
  3. Step 3: Cross multiply
    7,144.25x = 10,674.98 × 5,160.47
  4. Step 4: Simplify right side
    7,144.25x = 55,087,834.86
  5. Step 5: Solve for x
    x = 55,087,834.86/7,144.25
  6. Step 6: Final answer
    x = 7,710.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.