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Finding the Fourth Proportional to 12,410.19, 18,627.62 and 5,841

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Solution

The fourth proportional to 12,410.19, 18,627.62 and 5,841 is: 8,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.19 : 18,627.62 = 5,841 : x
  2. Step 2: Convert to fraction form
    12,410.19/18,627.62 = 5,841/x
  3. Step 3: Cross multiply
    12,410.19x = 18,627.62 × 5,841
  4. Step 4: Simplify right side
    12,410.19x = 108,803,899.22
  5. Step 5: Solve for x
    x = 108,803,899.22/12,410.19
  6. Step 6: Final answer
    x = 8,767.30

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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.