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Finding the Fourth Proportional to 11,557.37, 15,949.56 and 7,019.27

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Solution

The fourth proportional to 11,557.37, 15,949.56 and 7,019.27 is: 9,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.37 : 15,949.56 = 7,019.27 : x
  2. Step 2: Convert to fraction form
    11,557.37/15,949.56 = 7,019.27/x
  3. Step 3: Cross multiply
    11,557.37x = 15,949.56 × 7,019.27
  4. Step 4: Simplify right side
    11,557.37x = 111,954,268.02
  5. Step 5: Solve for x
    x = 111,954,268.02/11,557.37
  6. Step 6: Final answer
    x = 9,686.83

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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.