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Finding the Fourth Proportional to 10,726.32, 16,099.12 and 5,464.82

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Solution

The fourth proportional to 10,726.32, 16,099.12 and 5,464.82 is: 8,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.32 : 16,099.12 = 5,464.82 : x
  2. Step 2: Convert to fraction form
    10,726.32/16,099.12 = 5,464.82/x
  3. Step 3: Cross multiply
    10,726.32x = 16,099.12 × 5,464.82
  4. Step 4: Simplify right side
    10,726.32x = 87,978,792.96
  5. Step 5: Solve for x
    x = 87,978,792.96/10,726.32
  6. Step 6: Final answer
    x = 8,202.14

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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.