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Finding the Fourth Proportional to 7,572.38, 10,449.90 and 4,429.17

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Solution

The fourth proportional to 7,572.38, 10,449.90 and 4,429.17 is: 6,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.38 : 10,449.90 = 4,429.17 : x
  2. Step 2: Convert to fraction form
    7,572.38/10,449.90 = 4,429.17/x
  3. Step 3: Cross multiply
    7,572.38x = 10,449.90 × 4,429.17
  4. Step 4: Simplify right side
    7,572.38x = 46,284,383.58
  5. Step 5: Solve for x
    x = 46,284,383.58/7,572.38
  6. Step 6: Final answer
    x = 6,112.27

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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.