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Finding the Fourth Proportional to 10,886.14, 15,024.25 and 6,410.30

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Solution

The fourth proportional to 10,886.14, 15,024.25 and 6,410.30 is: 8,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.14 : 15,024.25 = 6,410.30 : x
  2. Step 2: Convert to fraction form
    10,886.14/15,024.25 = 6,410.30/x
  3. Step 3: Cross multiply
    10,886.14x = 15,024.25 × 6,410.30
  4. Step 4: Simplify right side
    10,886.14x = 96,309,949.78
  5. Step 5: Solve for x
    x = 96,309,949.78/10,886.14
  6. Step 6: Final answer
    x = 8,847.03

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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.