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Finding the Fourth Proportional to 11,238.65, 15,509.03 and 6,202.78

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Solution

The fourth proportional to 11,238.65, 15,509.03 and 6,202.78 is: 8,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.65 : 15,509.03 = 6,202.78 : x
  2. Step 2: Convert to fraction form
    11,238.65/15,509.03 = 6,202.78/x
  3. Step 3: Cross multiply
    11,238.65x = 15,509.03 × 6,202.78
  4. Step 4: Simplify right side
    11,238.65x = 96,199,101.10
  5. Step 5: Solve for x
    x = 96,199,101.10/11,238.65
  6. Step 6: Final answer
    x = 8,559.67

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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.