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Finding the Fourth Proportional to 11,814.56, 16,303.91 and 6,778.67

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Solution

The fourth proportional to 11,814.56, 16,303.91 and 6,778.67 is: 9,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.56 : 16,303.91 = 6,778.67 : x
  2. Step 2: Convert to fraction form
    11,814.56/16,303.91 = 6,778.67/x
  3. Step 3: Cross multiply
    11,814.56x = 16,303.91 × 6,778.67
  4. Step 4: Simplify right side
    11,814.56x = 110,518,761.03
  5. Step 5: Solve for x
    x = 110,518,761.03/11,814.56
  6. Step 6: Final answer
    x = 9,354.46

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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.