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Finding the Fourth Proportional to 10,874.95, 16,314.47 and 3,477.42

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Solution

The fourth proportional to 10,874.95, 16,314.47 and 3,477.42 is: 5,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.95 : 16,314.47 = 3,477.42 : x
  2. Step 2: Convert to fraction form
    10,874.95/16,314.47 = 3,477.42/x
  3. Step 3: Cross multiply
    10,874.95x = 16,314.47 × 3,477.42
  4. Step 4: Simplify right side
    10,874.95x = 56,732,214.79
  5. Step 5: Solve for x
    x = 56,732,214.79/10,874.95
  6. Step 6: Final answer
    x = 5,216.78

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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.