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Finding the Fourth Proportional to 11,357.06, 15,674.13 and 6,880.73

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Solution

The fourth proportional to 11,357.06, 15,674.13 and 6,880.73 is: 9,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.06 : 15,674.13 = 6,880.73 : x
  2. Step 2: Convert to fraction form
    11,357.06/15,674.13 = 6,880.73/x
  3. Step 3: Cross multiply
    11,357.06x = 15,674.13 × 6,880.73
  4. Step 4: Simplify right side
    11,357.06x = 107,849,378.14
  5. Step 5: Solve for x
    x = 107,849,378.14/11,357.06
  6. Step 6: Final answer
    x = 9,496.25

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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.