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Finding the Fourth Proportional to 11,493.27, 15,866.76 and 7,736.18

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Solution

The fourth proportional to 11,493.27, 15,866.76 and 7,736.18 is: 10,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.27 : 15,866.76 = 7,736.18 : x
  2. Step 2: Convert to fraction form
    11,493.27/15,866.76 = 7,736.18/x
  3. Step 3: Cross multiply
    11,493.27x = 15,866.76 × 7,736.18
  4. Step 4: Simplify right side
    11,493.27x = 122,748,032.04
  5. Step 5: Solve for x
    x = 122,748,032.04/11,493.27
  6. Step 6: Final answer
    x = 10,679.99

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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.