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Finding the Fourth Proportional to 11,468.32, 15,861.20 and 10,288.96

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Solution

The fourth proportional to 11,468.32, 15,861.20 and 10,288.96 is: 14,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.32 : 15,861.20 = 10,288.96 : x
  2. Step 2: Convert to fraction form
    11,468.32/15,861.20 = 10,288.96/x
  3. Step 3: Cross multiply
    11,468.32x = 15,861.20 × 10,288.96
  4. Step 4: Simplify right side
    11,468.32x = 163,195,252.35
  5. Step 5: Solve for x
    x = 163,195,252.35/11,468.32
  6. Step 6: Final answer
    x = 14,230.09

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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.