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Finding the Fourth Proportional to 11,165.96, 16,741.42 and 5,895.40

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Solution

The fourth proportional to 11,165.96, 16,741.42 and 5,895.40 is: 8,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.96 : 16,741.42 = 5,895.40 : x
  2. Step 2: Convert to fraction form
    11,165.96/16,741.42 = 5,895.40/x
  3. Step 3: Cross multiply
    11,165.96x = 16,741.42 × 5,895.40
  4. Step 4: Simplify right side
    11,165.96x = 98,697,367.47
  5. Step 5: Solve for x
    x = 98,697,367.47/11,165.96
  6. Step 6: Final answer
    x = 8,839.13

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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.