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Finding the Fourth Proportional to 10,686.64, 16,026 and 3,665.20

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Solution

The fourth proportional to 10,686.64, 16,026 and 3,665.20 is: 5,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.64 : 16,026 = 3,665.20 : x
  2. Step 2: Convert to fraction form
    10,686.64/16,026 = 3,665.20/x
  3. Step 3: Cross multiply
    10,686.64x = 16,026 × 3,665.20
  4. Step 4: Simplify right side
    10,686.64x = 58,738,495.20
  5. Step 5: Solve for x
    x = 58,738,495.20/10,686.64
  6. Step 6: Final answer
    x = 5,496.44

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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.