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Finding the Fourth Proportional to 10,880.64, 16,297.92 and 9,027.36

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Solution

The fourth proportional to 10,880.64, 16,297.92 and 9,027.36 is: 13,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.64 : 16,297.92 = 9,027.36 : x
  2. Step 2: Convert to fraction form
    10,880.64/16,297.92 = 9,027.36/x
  3. Step 3: Cross multiply
    10,880.64x = 16,297.92 × 9,027.36
  4. Step 4: Simplify right side
    10,880.64x = 147,127,191.09
  5. Step 5: Solve for x
    x = 147,127,191.09/10,880.64
  6. Step 6: Final answer
    x = 13,521.92

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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.