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Finding the Fourth Proportional to 11,356.94, 15,672.69 and 6,640.31

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Solution

The fourth proportional to 11,356.94, 15,672.69 and 6,640.31 is: 9,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.94 : 15,672.69 = 6,640.31 : x
  2. Step 2: Convert to fraction form
    11,356.94/15,672.69 = 6,640.31/x
  3. Step 3: Cross multiply
    11,356.94x = 15,672.69 × 6,640.31
  4. Step 4: Simplify right side
    11,356.94x = 104,071,559.32
  5. Step 5: Solve for x
    x = 104,071,559.32/11,356.94
  6. Step 6: Final answer
    x = 9,163.70

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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.