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Finding the Fourth Proportional to 7,634.66, 11,451.07 and 2,088.48

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Solution

The fourth proportional to 7,634.66, 11,451.07 and 2,088.48 is: 3,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.66 : 11,451.07 = 2,088.48 : x
  2. Step 2: Convert to fraction form
    7,634.66/11,451.07 = 2,088.48/x
  3. Step 3: Cross multiply
    7,634.66x = 11,451.07 × 2,088.48
  4. Step 4: Simplify right side
    7,634.66x = 23,915,376.23
  5. Step 5: Solve for x
    x = 23,915,376.23/7,634.66
  6. Step 6: Final answer
    x = 3,132.48

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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.