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Finding the Fourth Proportional to 11,340.32, 17,010 and 3,442.55

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Solution

The fourth proportional to 11,340.32, 17,010 and 3,442.55 is: 5,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.32 : 17,010 = 3,442.55 : x
  2. Step 2: Convert to fraction form
    11,340.32/17,010 = 3,442.55/x
  3. Step 3: Cross multiply
    11,340.32x = 17,010 × 3,442.55
  4. Step 4: Simplify right side
    11,340.32x = 58,557,690.45
  5. Step 5: Solve for x
    x = 58,557,690.45/11,340.32
  6. Step 6: Final answer
    x = 5,163.67

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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.