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Finding the Fourth Proportional to 7,694.28, 10,614.40 and 5,040.52

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Solution

The fourth proportional to 7,694.28, 10,614.40 and 5,040.52 is: 6,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.28 : 10,614.40 = 5,040.52 : x
  2. Step 2: Convert to fraction form
    7,694.28/10,614.40 = 5,040.52/x
  3. Step 3: Cross multiply
    7,694.28x = 10,614.40 × 5,040.52
  4. Step 4: Simplify right side
    7,694.28x = 53,502,095.49
  5. Step 5: Solve for x
    x = 53,502,095.49/7,694.28
  6. Step 6: Final answer
    x = 6,953.49

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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.