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Finding the Fourth Proportional to 8,369.30, 11,549.79 and 4,592.84

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Solution

The fourth proportional to 8,369.30, 11,549.79 and 4,592.84 is: 6,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.30 : 11,549.79 = 4,592.84 : x
  2. Step 2: Convert to fraction form
    8,369.30/11,549.79 = 4,592.84/x
  3. Step 3: Cross multiply
    8,369.30x = 11,549.79 × 4,592.84
  4. Step 4: Simplify right side
    8,369.30x = 53,046,279.75
  5. Step 5: Solve for x
    x = 53,046,279.75/8,369.30
  6. Step 6: Final answer
    x = 6,338.20

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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.