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Finding the Fourth Proportional to 11,874.60, 16,387.11 and 7,400.16

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Solution

The fourth proportional to 11,874.60, 16,387.11 and 7,400.16 is: 10,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.60 : 16,387.11 = 7,400.16 : x
  2. Step 2: Convert to fraction form
    11,874.60/16,387.11 = 7,400.16/x
  3. Step 3: Cross multiply
    11,874.60x = 16,387.11 × 7,400.16
  4. Step 4: Simplify right side
    11,874.60x = 121,267,235.94
  5. Step 5: Solve for x
    x = 121,267,235.94/11,874.60
  6. Step 6: Final answer
    x = 10,212.32

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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.