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Finding the Fourth Proportional to 7,846.62, 10,830.87 and 5,369.82

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Solution

The fourth proportional to 7,846.62, 10,830.87 and 5,369.82 is: 7,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.62 : 10,830.87 = 5,369.82 : x
  2. Step 2: Convert to fraction form
    7,846.62/10,830.87 = 5,369.82/x
  3. Step 3: Cross multiply
    7,846.62x = 10,830.87 × 5,369.82
  4. Step 4: Simplify right side
    7,846.62x = 58,159,822.34
  5. Step 5: Solve for x
    x = 58,159,822.34/7,846.62
  6. Step 6: Final answer
    x = 7,412.09

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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.