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Finding the Fourth Proportional to 10,290.69, 15,419.82 and 7,956.41

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Solution

The fourth proportional to 10,290.69, 15,419.82 and 7,956.41 is: 11,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.69 : 15,419.82 = 7,956.41 : x
  2. Step 2: Convert to fraction form
    10,290.69/15,419.82 = 7,956.41/x
  3. Step 3: Cross multiply
    10,290.69x = 15,419.82 × 7,956.41
  4. Step 4: Simplify right side
    10,290.69x = 122,686,410.05
  5. Step 5: Solve for x
    x = 122,686,410.05/10,290.69
  6. Step 6: Final answer
    x = 11,922.08

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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.