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Finding the Fourth Proportional to 8,002.30, 11,039.52 and 5,016.64

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Solution

The fourth proportional to 8,002.30, 11,039.52 and 5,016.64 is: 6,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.30 : 11,039.52 = 5,016.64 : x
  2. Step 2: Convert to fraction form
    8,002.30/11,039.52 = 5,016.64/x
  3. Step 3: Cross multiply
    8,002.30x = 11,039.52 × 5,016.64
  4. Step 4: Simplify right side
    8,002.30x = 55,381,297.61
  5. Step 5: Solve for x
    x = 55,381,297.61/8,002.30
  6. Step 6: Final answer
    x = 6,920.67

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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.