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Finding the Fourth Proportional to 7,625.40, 10,523.04 and 4,269

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Solution

The fourth proportional to 7,625.40, 10,523.04 and 4,269 is: 5,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.40 : 10,523.04 = 4,269 : x
  2. Step 2: Convert to fraction form
    7,625.40/10,523.04 = 4,269/x
  3. Step 3: Cross multiply
    7,625.40x = 10,523.04 × 4,269
  4. Step 4: Simplify right side
    7,625.40x = 44,922,857.76
  5. Step 5: Solve for x
    x = 44,922,857.76/7,625.40
  6. Step 6: Final answer
    x = 5,891.21

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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.