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Finding the Fourth Proportional to 7,791.60, 11,689.62 and 3,844.05

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Solution

The fourth proportional to 7,791.60, 11,689.62 and 3,844.05 is: 5,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.60 : 11,689.62 = 3,844.05 : x
  2. Step 2: Convert to fraction form
    7,791.60/11,689.62 = 3,844.05/x
  3. Step 3: Cross multiply
    7,791.60x = 11,689.62 × 3,844.05
  4. Step 4: Simplify right side
    7,791.60x = 44,935,483.76
  5. Step 5: Solve for x
    x = 44,935,483.76/7,791.60
  6. Step 6: Final answer
    x = 5,767.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.