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Finding the Fourth Proportional to 7,851.33, 10,834.80 and 4,494.13

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Solution

The fourth proportional to 7,851.33, 10,834.80 and 4,494.13 is: 6,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.33 : 10,834.80 = 4,494.13 : x
  2. Step 2: Convert to fraction form
    7,851.33/10,834.80 = 4,494.13/x
  3. Step 3: Cross multiply
    7,851.33x = 10,834.80 × 4,494.13
  4. Step 4: Simplify right side
    7,851.33x = 48,692,999.72
  5. Step 5: Solve for x
    x = 48,692,999.72/7,851.33
  6. Step 6: Final answer
    x = 6,201.88

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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.