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Finding the Fourth Proportional to 7,432.69, 10,256.82 and 4,448.34

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Solution

The fourth proportional to 7,432.69, 10,256.82 and 4,448.34 is: 6,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.69 : 10,256.82 = 4,448.34 : x
  2. Step 2: Convert to fraction form
    7,432.69/10,256.82 = 4,448.34/x
  3. Step 3: Cross multiply
    7,432.69x = 10,256.82 × 4,448.34
  4. Step 4: Simplify right side
    7,432.69x = 45,625,822.68
  5. Step 5: Solve for x
    x = 45,625,822.68/7,432.69
  6. Step 6: Final answer
    x = 6,138.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.