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Finding the Fourth Proportional to 10,549, 15,821.34 and 5,352.04

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Solution

The fourth proportional to 10,549, 15,821.34 and 5,352.04 is: 8,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549 : 15,821.34 = 5,352.04 : x
  2. Step 2: Convert to fraction form
    10,549/15,821.34 = 5,352.04/x
  3. Step 3: Cross multiply
    10,549x = 15,821.34 × 5,352.04
  4. Step 4: Simplify right side
    10,549x = 84,676,444.53
  5. Step 5: Solve for x
    x = 84,676,444.53/10,549
  6. Step 6: Final answer
    x = 8,026.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.