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Finding the Fourth Proportional to 11,287.60, 16,934.10 and 5,741.80

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Solution

The fourth proportional to 11,287.60, 16,934.10 and 5,741.80 is: 8,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.60 : 16,934.10 = 5,741.80 : x
  2. Step 2: Convert to fraction form
    11,287.60/16,934.10 = 5,741.80/x
  3. Step 3: Cross multiply
    11,287.60x = 16,934.10 × 5,741.80
  4. Step 4: Simplify right side
    11,287.60x = 97,232,215.38
  5. Step 5: Solve for x
    x = 97,232,215.38/11,287.60
  6. Step 6: Final answer
    x = 8,614.07

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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.