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Finding the Fourth Proportional to 7,678.62, 10,600.07 and 5,791.01

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Solution

The fourth proportional to 7,678.62, 10,600.07 and 5,791.01 is: 7,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.62 : 10,600.07 = 5,791.01 : x
  2. Step 2: Convert to fraction form
    7,678.62/10,600.07 = 5,791.01/x
  3. Step 3: Cross multiply
    7,678.62x = 10,600.07 × 5,791.01
  4. Step 4: Simplify right side
    7,678.62x = 61,385,029.42
  5. Step 5: Solve for x
    x = 61,385,029.42/7,678.62
  6. Step 6: Final answer
    x = 7,994.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.