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Finding the Fourth Proportional to 11,412.33, 15,748.47 and 6,376.47

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Solution

The fourth proportional to 11,412.33, 15,748.47 and 6,376.47 is: 8,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.33 : 15,748.47 = 6,376.47 : x
  2. Step 2: Convert to fraction form
    11,412.33/15,748.47 = 6,376.47/x
  3. Step 3: Cross multiply
    11,412.33x = 15,748.47 × 6,376.47
  4. Step 4: Simplify right side
    11,412.33x = 100,419,646.50
  5. Step 5: Solve for x
    x = 100,419,646.50/11,412.33
  6. Step 6: Final answer
    x = 8,799.22

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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.