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Finding the Fourth Proportional to 11,493.05, 15,862.13 and 7,019.37

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Solution

The fourth proportional to 11,493.05, 15,862.13 and 7,019.37 is: 9,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.05 : 15,862.13 = 7,019.37 : x
  2. Step 2: Convert to fraction form
    11,493.05/15,862.13 = 7,019.37/x
  3. Step 3: Cross multiply
    11,493.05x = 15,862.13 × 7,019.37
  4. Step 4: Simplify right side
    11,493.05x = 111,342,124.36
  5. Step 5: Solve for x
    x = 111,342,124.36/11,493.05
  6. Step 6: Final answer
    x = 9,687.78

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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.