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Finding the Fourth Proportional to 10,397.80, 15,602.84 and 5,467.82

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Solution

The fourth proportional to 10,397.80, 15,602.84 and 5,467.82 is: 8,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.80 : 15,602.84 = 5,467.82 : x
  2. Step 2: Convert to fraction form
    10,397.80/15,602.84 = 5,467.82/x
  3. Step 3: Cross multiply
    10,397.80x = 15,602.84 × 5,467.82
  4. Step 4: Simplify right side
    10,397.80x = 85,313,554.28
  5. Step 5: Solve for x
    x = 85,313,554.28/10,397.80
  6. Step 6: Final answer
    x = 8,204.96

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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.