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Finding the Fourth Proportional to 6,857.58, 10,287.54 and 2,475.48

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Solution

The fourth proportional to 6,857.58, 10,287.54 and 2,475.48 is: 3,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.58 : 10,287.54 = 2,475.48 : x
  2. Step 2: Convert to fraction form
    6,857.58/10,287.54 = 2,475.48/x
  3. Step 3: Cross multiply
    6,857.58x = 10,287.54 × 2,475.48
  4. Step 4: Simplify right side
    6,857.58x = 25,466,599.52
  5. Step 5: Solve for x
    x = 25,466,599.52/6,857.58
  6. Step 6: Final answer
    x = 3,713.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.