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Finding the Fourth Proportional to 7,698.66, 11,540.91 and 2,767.14

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Solution

The fourth proportional to 7,698.66, 11,540.91 and 2,767.14 is: 4,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.66 : 11,540.91 = 2,767.14 : x
  2. Step 2: Convert to fraction form
    7,698.66/11,540.91 = 2,767.14/x
  3. Step 3: Cross multiply
    7,698.66x = 11,540.91 × 2,767.14
  4. Step 4: Simplify right side
    7,698.66x = 31,935,313.70
  5. Step 5: Solve for x
    x = 31,935,313.70/7,698.66
  6. Step 6: Final answer
    x = 4,148.17

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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.