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Finding the Fourth Proportional to 11,566.16, 17,349.18 and 2,801.12

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Solution

The fourth proportional to 11,566.16, 17,349.18 and 2,801.12 is: 4,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.16 : 17,349.18 = 2,801.12 : x
  2. Step 2: Convert to fraction form
    11,566.16/17,349.18 = 2,801.12/x
  3. Step 3: Cross multiply
    11,566.16x = 17,349.18 × 2,801.12
  4. Step 4: Simplify right side
    11,566.16x = 48,597,135.08
  5. Step 5: Solve for x
    x = 48,597,135.08/11,566.16
  6. Step 6: Final answer
    x = 4,201.67

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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.