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Finding the Fourth Proportional to 7,391.78, 10,199.76 and 4,205.48

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Solution

The fourth proportional to 7,391.78, 10,199.76 and 4,205.48 is: 5,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.78 : 10,199.76 = 4,205.48 : x
  2. Step 2: Convert to fraction form
    7,391.78/10,199.76 = 4,205.48/x
  3. Step 3: Cross multiply
    7,391.78x = 10,199.76 × 4,205.48
  4. Step 4: Simplify right side
    7,391.78x = 42,894,886.68
  5. Step 5: Solve for x
    x = 42,894,886.68/7,391.78
  6. Step 6: Final answer
    x = 5,803.05

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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.