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Finding the Fourth Proportional to 11,400.57, 15,736.55 and 6,684.75

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Solution

The fourth proportional to 11,400.57, 15,736.55 and 6,684.75 is: 9,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.57 : 15,736.55 = 6,684.75 : x
  2. Step 2: Convert to fraction form
    11,400.57/15,736.55 = 6,684.75/x
  3. Step 3: Cross multiply
    11,400.57x = 15,736.55 × 6,684.75
  4. Step 4: Simplify right side
    11,400.57x = 105,194,869.19
  5. Step 5: Solve for x
    x = 105,194,869.19/11,400.57
  6. Step 6: Final answer
    x = 9,227.16

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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.