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Finding the Fourth Proportional to 7,169.83, 10,750.64 and 2,782.16

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Solution

The fourth proportional to 7,169.83, 10,750.64 and 2,782.16 is: 4,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.83 : 10,750.64 = 2,782.16 : x
  2. Step 2: Convert to fraction form
    7,169.83/10,750.64 = 2,782.16/x
  3. Step 3: Cross multiply
    7,169.83x = 10,750.64 × 2,782.16
  4. Step 4: Simplify right side
    7,169.83x = 29,910,034.41
  5. Step 5: Solve for x
    x = 29,910,034.41/7,169.83
  6. Step 6: Final answer
    x = 4,171.65

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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.