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Finding the Fourth Proportional to 11,151.40, 16,694.70 and 7,457.80

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Solution

The fourth proportional to 11,151.40, 16,694.70 and 7,457.80 is: 11,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.40 : 16,694.70 = 7,457.80 : x
  2. Step 2: Convert to fraction form
    11,151.40/16,694.70 = 7,457.80/x
  3. Step 3: Cross multiply
    11,151.40x = 16,694.70 × 7,457.80
  4. Step 4: Simplify right side
    11,151.40x = 124,505,733.66
  5. Step 5: Solve for x
    x = 124,505,733.66/11,151.40
  6. Step 6: Final answer
    x = 11,165.03

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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.