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Finding the Fourth Proportional to 11,374.13, 15,696.93 and 6,338.16

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Solution

The fourth proportional to 11,374.13, 15,696.93 and 6,338.16 is: 8,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.13 : 15,696.93 = 6,338.16 : x
  2. Step 2: Convert to fraction form
    11,374.13/15,696.93 = 6,338.16/x
  3. Step 3: Cross multiply
    11,374.13x = 15,696.93 × 6,338.16
  4. Step 4: Simplify right side
    11,374.13x = 99,489,653.85
  5. Step 5: Solve for x
    x = 99,489,653.85/11,374.13
  6. Step 6: Final answer
    x = 8,747.02

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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.