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Finding the Fourth Proportional to 11,246.22, 15,509.75 and 7,263.14

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Solution

The fourth proportional to 11,246.22, 15,509.75 and 7,263.14 is: 10,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.22 : 15,509.75 = 7,263.14 : x
  2. Step 2: Convert to fraction form
    11,246.22/15,509.75 = 7,263.14/x
  3. Step 3: Cross multiply
    11,246.22x = 15,509.75 × 7,263.14
  4. Step 4: Simplify right side
    11,246.22x = 112,649,371.75
  5. Step 5: Solve for x
    x = 112,649,371.75/11,246.22
  6. Step 6: Final answer
    x = 10,016.64

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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.