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Finding the Fourth Proportional to 7,141.36, 10,693.41 and 5,747.08

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Solution

The fourth proportional to 7,141.36, 10,693.41 and 5,747.08 is: 8,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.36 : 10,693.41 = 5,747.08 : x
  2. Step 2: Convert to fraction form
    7,141.36/10,693.41 = 5,747.08/x
  3. Step 3: Cross multiply
    7,141.36x = 10,693.41 × 5,747.08
  4. Step 4: Simplify right side
    7,141.36x = 61,455,882.74
  5. Step 5: Solve for x
    x = 61,455,882.74/7,141.36
  6. Step 6: Final answer
    x = 8,605.63

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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.