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Finding the Fourth Proportional to 7,775.65, 11,668.31 and 3,158.65

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Solution

The fourth proportional to 7,775.65, 11,668.31 and 3,158.65 is: 4,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.65 : 11,668.31 = 3,158.65 : x
  2. Step 2: Convert to fraction form
    7,775.65/11,668.31 = 3,158.65/x
  3. Step 3: Cross multiply
    7,775.65x = 11,668.31 × 3,158.65
  4. Step 4: Simplify right side
    7,775.65x = 36,856,033.25
  5. Step 5: Solve for x
    x = 36,856,033.25/7,775.65
  6. Step 6: Final answer
    x = 4,739.93

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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.