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Finding the Fourth Proportional to 11,815.24, 17,726.94 and 5,246.02

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Solution

The fourth proportional to 11,815.24, 17,726.94 and 5,246.02 is: 7,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.24 : 17,726.94 = 5,246.02 : x
  2. Step 2: Convert to fraction form
    11,815.24/17,726.94 = 5,246.02/x
  3. Step 3: Cross multiply
    11,815.24x = 17,726.94 × 5,246.02
  4. Step 4: Simplify right side
    11,815.24x = 92,995,881.78
  5. Step 5: Solve for x
    x = 92,995,881.78/11,815.24
  6. Step 6: Final answer
    x = 7,870.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.