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Finding the Fourth Proportional to 7,512.82, 10,367.62 and 4,155.78

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Solution

The fourth proportional to 7,512.82, 10,367.62 and 4,155.78 is: 5,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.82 : 10,367.62 = 4,155.78 : x
  2. Step 2: Convert to fraction form
    7,512.82/10,367.62 = 4,155.78/x
  3. Step 3: Cross multiply
    7,512.82x = 10,367.62 × 4,155.78
  4. Step 4: Simplify right side
    7,512.82x = 43,085,547.84
  5. Step 5: Solve for x
    x = 43,085,547.84/7,512.82
  6. Step 6: Final answer
    x = 5,734.94

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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.