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Finding the Fourth Proportional to 10,410.90, 15,622.45 and 3,841.66

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Solution

The fourth proportional to 10,410.90, 15,622.45 and 3,841.66 is: 5,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.90 : 15,622.45 = 3,841.66 : x
  2. Step 2: Convert to fraction form
    10,410.90/15,622.45 = 3,841.66/x
  3. Step 3: Cross multiply
    10,410.90x = 15,622.45 × 3,841.66
  4. Step 4: Simplify right side
    10,410.90x = 60,016,141.27
  5. Step 5: Solve for x
    x = 60,016,141.27/10,410.90
  6. Step 6: Final answer
    x = 5,764.74

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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.