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Finding the Fourth Proportional to 7,251.83, 10,005.78 and 4,225.11

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Solution

The fourth proportional to 7,251.83, 10,005.78 and 4,225.11 is: 5,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.83 : 10,005.78 = 4,225.11 : x
  2. Step 2: Convert to fraction form
    7,251.83/10,005.78 = 4,225.11/x
  3. Step 3: Cross multiply
    7,251.83x = 10,005.78 × 4,225.11
  4. Step 4: Simplify right side
    7,251.83x = 42,275,531.97
  5. Step 5: Solve for x
    x = 42,275,531.97/7,251.83
  6. Step 6: Final answer
    x = 5,829.64

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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.