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Finding the Fourth Proportional to 7,467.71, 11,201.57 and 5,302.58

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Solution

The fourth proportional to 7,467.71, 11,201.57 and 5,302.58 is: 7,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.71 : 11,201.57 = 5,302.58 : x
  2. Step 2: Convert to fraction form
    7,467.71/11,201.57 = 5,302.58/x
  3. Step 3: Cross multiply
    7,467.71x = 11,201.57 × 5,302.58
  4. Step 4: Simplify right side
    7,467.71x = 59,397,221.05
  5. Step 5: Solve for x
    x = 59,397,221.05/7,467.71
  6. Step 6: Final answer
    x = 7,953.87

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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.