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Finding the Fourth Proportional to 7,772.90, 11,661.08 and 2,842.43

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Solution

The fourth proportional to 7,772.90, 11,661.08 and 2,842.43 is: 4,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.90 : 11,661.08 = 2,842.43 : x
  2. Step 2: Convert to fraction form
    7,772.90/11,661.08 = 2,842.43/x
  3. Step 3: Cross multiply
    7,772.90x = 11,661.08 × 2,842.43
  4. Step 4: Simplify right side
    7,772.90x = 33,145,731.11
  5. Step 5: Solve for x
    x = 33,145,731.11/7,772.90
  6. Step 6: Final answer
    x = 4,264.27

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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.