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Finding the Fourth Proportional to 7,438.37, 11,154.92 and 5,352.14

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Solution

The fourth proportional to 7,438.37, 11,154.92 and 5,352.14 is: 8,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.37 : 11,154.92 = 5,352.14 : x
  2. Step 2: Convert to fraction form
    7,438.37/11,154.92 = 5,352.14/x
  3. Step 3: Cross multiply
    7,438.37x = 11,154.92 × 5,352.14
  4. Step 4: Simplify right side
    7,438.37x = 59,702,694.66
  5. Step 5: Solve for x
    x = 59,702,694.66/7,438.37
  6. Step 6: Final answer
    x = 8,026.32

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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.