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Finding the Fourth Proportional to 11,700.66, 16,144.47 and 7,450.19

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Solution

The fourth proportional to 11,700.66, 16,144.47 and 7,450.19 is: 10,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.66 : 16,144.47 = 7,450.19 : x
  2. Step 2: Convert to fraction form
    11,700.66/16,144.47 = 7,450.19/x
  3. Step 3: Cross multiply
    11,700.66x = 16,144.47 × 7,450.19
  4. Step 4: Simplify right side
    11,700.66x = 120,279,368.95
  5. Step 5: Solve for x
    x = 120,279,368.95/11,700.66
  6. Step 6: Final answer
    x = 10,279.71

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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.