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Finding the Fourth Proportional to 11,909.72, 16,428.44 and 7,374.16

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Solution

The fourth proportional to 11,909.72, 16,428.44 and 7,374.16 is: 10,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.72 : 16,428.44 = 7,374.16 : x
  2. Step 2: Convert to fraction form
    11,909.72/16,428.44 = 7,374.16/x
  3. Step 3: Cross multiply
    11,909.72x = 16,428.44 × 7,374.16
  4. Step 4: Simplify right side
    11,909.72x = 121,145,945.11
  5. Step 5: Solve for x
    x = 121,145,945.11/11,909.72
  6. Step 6: Final answer
    x = 10,172.02

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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.