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Finding the Fourth Proportional to 7,668.41, 11,500.17 and 3,284.69

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Solution

The fourth proportional to 7,668.41, 11,500.17 and 3,284.69 is: 4,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.41 : 11,500.17 = 3,284.69 : x
  2. Step 2: Convert to fraction form
    7,668.41/11,500.17 = 3,284.69/x
  3. Step 3: Cross multiply
    7,668.41x = 11,500.17 × 3,284.69
  4. Step 4: Simplify right side
    7,668.41x = 37,774,435.90
  5. Step 5: Solve for x
    x = 37,774,435.90/7,668.41
  6. Step 6: Final answer
    x = 4,925.98

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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.