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Finding the Fourth Proportional to 11,780.64, 17,663.67 and 6,847.74

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Solution

The fourth proportional to 11,780.64, 17,663.67 and 6,847.74 is: 10,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.64 : 17,663.67 = 6,847.74 : x
  2. Step 2: Convert to fraction form
    11,780.64/17,663.67 = 6,847.74/x
  3. Step 3: Cross multiply
    11,780.64x = 17,663.67 × 6,847.74
  4. Step 4: Simplify right side
    11,780.64x = 120,956,219.61
  5. Step 5: Solve for x
    x = 120,956,219.61/11,780.64
  6. Step 6: Final answer
    x = 10,267.37

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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.