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Finding the Fourth Proportional to 11,551.25, 15,940.64 and 6,246.05

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Solution

The fourth proportional to 11,551.25, 15,940.64 and 6,246.05 is: 8,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.25 : 15,940.64 = 6,246.05 : x
  2. Step 2: Convert to fraction form
    11,551.25/15,940.64 = 6,246.05/x
  3. Step 3: Cross multiply
    11,551.25x = 15,940.64 × 6,246.05
  4. Step 4: Simplify right side
    11,551.25x = 99,565,923.54
  5. Step 5: Solve for x
    x = 99,565,923.54/11,551.25
  6. Step 6: Final answer
    x = 8,619.50

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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.