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Finding the Fourth Proportional to 10,881.36, 15,018.24 and 6,164.64

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Solution

The fourth proportional to 10,881.36, 15,018.24 and 6,164.64 is: 8,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.36 : 15,018.24 = 6,164.64 : x
  2. Step 2: Convert to fraction form
    10,881.36/15,018.24 = 6,164.64/x
  3. Step 3: Cross multiply
    10,881.36x = 15,018.24 × 6,164.64
  4. Step 4: Simplify right side
    10,881.36x = 92,582,043.03
  5. Step 5: Solve for x
    x = 92,582,043.03/10,881.36
  6. Step 6: Final answer
    x = 8,508.32

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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.