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Finding the Fourth Proportional to 11,071.62, 15,293.79 and 8,849.07

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Solution

The fourth proportional to 11,071.62, 15,293.79 and 8,849.07 is: 12,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.62 : 15,293.79 = 8,849.07 : x
  2. Step 2: Convert to fraction form
    11,071.62/15,293.79 = 8,849.07/x
  3. Step 3: Cross multiply
    11,071.62x = 15,293.79 × 8,849.07
  4. Step 4: Simplify right side
    11,071.62x = 135,335,818.28
  5. Step 5: Solve for x
    x = 135,335,818.28/11,071.62
  6. Step 6: Final answer
    x = 12,223.67

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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.