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Finding the Fourth Proportional to 6,857.72, 10,275.78 and 5,301.53

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Solution

The fourth proportional to 6,857.72, 10,275.78 and 5,301.53 is: 7,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.72 : 10,275.78 = 5,301.53 : x
  2. Step 2: Convert to fraction form
    6,857.72/10,275.78 = 5,301.53/x
  3. Step 3: Cross multiply
    6,857.72x = 10,275.78 × 5,301.53
  4. Step 4: Simplify right side
    6,857.72x = 54,477,304.56
  5. Step 5: Solve for x
    x = 54,477,304.56/6,857.72
  6. Step 6: Final answer
    x = 7,943.94

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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.