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Finding the Fourth Proportional to 7,775.68, 11,668.44 and 4,080.57

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Solution

The fourth proportional to 7,775.68, 11,668.44 and 4,080.57 is: 6,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.68 : 11,668.44 = 4,080.57 : x
  2. Step 2: Convert to fraction form
    7,775.68/11,668.44 = 4,080.57/x
  3. Step 3: Cross multiply
    7,775.68x = 11,668.44 × 4,080.57
  4. Step 4: Simplify right side
    7,775.68x = 47,613,886.21
  5. Step 5: Solve for x
    x = 47,613,886.21/7,775.68
  6. Step 6: Final answer
    x = 6,123.44

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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.