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Finding the Fourth Proportional to 11,412.21, 15,748.89 and 6,376.62

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Solution

The fourth proportional to 11,412.21, 15,748.89 and 6,376.62 is: 8,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.21 : 15,748.89 = 6,376.62 : x
  2. Step 2: Convert to fraction form
    11,412.21/15,748.89 = 6,376.62/x
  3. Step 3: Cross multiply
    11,412.21x = 15,748.89 × 6,376.62
  4. Step 4: Simplify right side
    11,412.21x = 100,424,686.95
  5. Step 5: Solve for x
    x = 100,424,686.95/11,412.21
  6. Step 6: Final answer
    x = 8,799.76

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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.