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Finding the Fourth Proportional to 11,382.74, 17,082.93 and 7,897.20

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Solution

The fourth proportional to 11,382.74, 17,082.93 and 7,897.20 is: 11,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.74 : 17,082.93 = 7,897.20 : x
  2. Step 2: Convert to fraction form
    11,382.74/17,082.93 = 7,897.20/x
  3. Step 3: Cross multiply
    11,382.74x = 17,082.93 × 7,897.20
  4. Step 4: Simplify right side
    11,382.74x = 134,907,314.80
  5. Step 5: Solve for x
    x = 134,907,314.80/11,382.74
  6. Step 6: Final answer
    x = 11,851.92

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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.