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Finding the Fourth Proportional to 11,378.51, 15,694.66 and 9,883.82

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Solution

The fourth proportional to 11,378.51, 15,694.66 and 9,883.82 is: 13,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.51 : 15,694.66 = 9,883.82 : x
  2. Step 2: Convert to fraction form
    11,378.51/15,694.66 = 9,883.82/x
  3. Step 3: Cross multiply
    11,378.51x = 15,694.66 × 9,883.82
  4. Step 4: Simplify right side
    11,378.51x = 155,123,245.99
  5. Step 5: Solve for x
    x = 155,123,245.99/11,378.51
  6. Step 6: Final answer
    x = 13,633.00

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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.