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Finding the Fourth Proportional to 11,396.16, 17,092.80 and 6,768

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Solution

The fourth proportional to 11,396.16, 17,092.80 and 6,768 is: 10,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.16 : 17,092.80 = 6,768 : x
  2. Step 2: Convert to fraction form
    11,396.16/17,092.80 = 6,768/x
  3. Step 3: Cross multiply
    11,396.16x = 17,092.80 × 6,768
  4. Step 4: Simplify right side
    11,396.16x = 115,684,070.40
  5. Step 5: Solve for x
    x = 115,684,070.40/11,396.16
  6. Step 6: Final answer
    x = 10,151.14

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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.