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Finding the Fourth Proportional to 7,412.88, 10,229.78 and 4,269.07

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Solution

The fourth proportional to 7,412.88, 10,229.78 and 4,269.07 is: 5,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.88 : 10,229.78 = 4,269.07 : x
  2. Step 2: Convert to fraction form
    7,412.88/10,229.78 = 4,269.07/x
  3. Step 3: Cross multiply
    7,412.88x = 10,229.78 × 4,269.07
  4. Step 4: Simplify right side
    7,412.88x = 43,671,646.90
  5. Step 5: Solve for x
    x = 43,671,646.90/7,412.88
  6. Step 6: Final answer
    x = 5,891.32

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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.