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Finding the Fourth Proportional to 7,775.15, 11,668.64 and 5,700.42

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Solution

The fourth proportional to 7,775.15, 11,668.64 and 5,700.42 is: 8,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.15 : 11,668.64 = 5,700.42 : x
  2. Step 2: Convert to fraction form
    7,775.15/11,668.64 = 5,700.42/x
  3. Step 3: Cross multiply
    7,775.15x = 11,668.64 × 5,700.42
  4. Step 4: Simplify right side
    7,775.15x = 66,516,120.33
  5. Step 5: Solve for x
    x = 66,516,120.33/7,775.15
  6. Step 6: Final answer
    x = 8,554.97

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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.