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Finding the Fourth Proportional to 10,687.34, 16,031.93 and 3,293.46

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Solution

The fourth proportional to 10,687.34, 16,031.93 and 3,293.46 is: 4,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.34 : 16,031.93 = 3,293.46 : x
  2. Step 2: Convert to fraction form
    10,687.34/16,031.93 = 3,293.46/x
  3. Step 3: Cross multiply
    10,687.34x = 16,031.93 × 3,293.46
  4. Step 4: Simplify right side
    10,687.34x = 52,800,503.71
  5. Step 5: Solve for x
    x = 52,800,503.71/10,687.34
  6. Step 6: Final answer
    x = 4,940.47

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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.