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Finding the Fourth Proportional to 6,907.32, 10,380.96 and 5,744.52

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Solution

The fourth proportional to 6,907.32, 10,380.96 and 5,744.52 is: 8,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.32 : 10,380.96 = 5,744.52 : x
  2. Step 2: Convert to fraction form
    6,907.32/10,380.96 = 5,744.52/x
  3. Step 3: Cross multiply
    6,907.32x = 10,380.96 × 5,744.52
  4. Step 4: Simplify right side
    6,907.32x = 59,633,632.34
  5. Step 5: Solve for x
    x = 59,633,632.34/6,907.32
  6. Step 6: Final answer
    x = 8,633.40

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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.