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Finding the Fourth Proportional to 11,352.32, 17,023.21 and 6,283.10

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Solution

The fourth proportional to 11,352.32, 17,023.21 and 6,283.10 is: 9,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.32 : 17,023.21 = 6,283.10 : x
  2. Step 2: Convert to fraction form
    11,352.32/17,023.21 = 6,283.10/x
  3. Step 3: Cross multiply
    11,352.32x = 17,023.21 × 6,283.10
  4. Step 4: Simplify right side
    11,352.32x = 106,958,530.75
  5. Step 5: Solve for x
    x = 106,958,530.75/11,352.32
  6. Step 6: Final answer
    x = 9,421.73

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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.