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Finding the Fourth Proportional to 7,199.37, 10,780.69 and 5,740.65

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Solution

The fourth proportional to 7,199.37, 10,780.69 and 5,740.65 is: 8,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.37 : 10,780.69 = 5,740.65 : x
  2. Step 2: Convert to fraction form
    7,199.37/10,780.69 = 5,740.65/x
  3. Step 3: Cross multiply
    7,199.37x = 10,780.69 × 5,740.65
  4. Step 4: Simplify right side
    7,199.37x = 61,888,168.05
  5. Step 5: Solve for x
    x = 61,888,168.05/7,199.37
  6. Step 6: Final answer
    x = 8,596.33

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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.