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Finding the Fourth Proportional to 11,164.78, 15,410.17 and 6,451.78

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Solution

The fourth proportional to 11,164.78, 15,410.17 and 6,451.78 is: 8,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.78 : 15,410.17 = 6,451.78 : x
  2. Step 2: Convert to fraction form
    11,164.78/15,410.17 = 6,451.78/x
  3. Step 3: Cross multiply
    11,164.78x = 15,410.17 × 6,451.78
  4. Step 4: Simplify right side
    11,164.78x = 99,423,026.60
  5. Step 5: Solve for x
    x = 99,423,026.60/11,164.78
  6. Step 6: Final answer
    x = 8,905.06

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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.