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Finding the Fourth Proportional to 10,874.96, 16,304.42 and 3,475.14

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Solution

The fourth proportional to 10,874.96, 16,304.42 and 3,475.14 is: 5,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.96 : 16,304.42 = 3,475.14 : x
  2. Step 2: Convert to fraction form
    10,874.96/16,304.42 = 3,475.14/x
  3. Step 3: Cross multiply
    10,874.96x = 16,304.42 × 3,475.14
  4. Step 4: Simplify right side
    10,874.96x = 56,660,089.67
  5. Step 5: Solve for x
    x = 56,660,089.67/10,874.96
  6. Step 6: Final answer
    x = 5,210.14

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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.