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Finding the Fourth Proportional to 10,859.38, 16,291.72 and 3,463.84

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Solution

The fourth proportional to 10,859.38, 16,291.72 and 3,463.84 is: 5,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.38 : 16,291.72 = 3,463.84 : x
  2. Step 2: Convert to fraction form
    10,859.38/16,291.72 = 3,463.84/x
  3. Step 3: Cross multiply
    10,859.38x = 16,291.72 × 3,463.84
  4. Step 4: Simplify right side
    10,859.38x = 56,431,911.40
  5. Step 5: Solve for x
    x = 56,431,911.40/10,859.38
  6. Step 6: Final answer
    x = 5,196.61

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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.