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Finding the Fourth Proportional to 10,762, 16,149.17 and 4,187.35

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Solution

The fourth proportional to 10,762, 16,149.17 and 4,187.35 is: 6,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762 : 16,149.17 = 4,187.35 : x
  2. Step 2: Convert to fraction form
    10,762/16,149.17 = 4,187.35/x
  3. Step 3: Cross multiply
    10,762x = 16,149.17 × 4,187.35
  4. Step 4: Simplify right side
    10,762x = 67,622,227.00
  5. Step 5: Solve for x
    x = 67,622,227.00/10,762
  6. Step 6: Final answer
    x = 6,283.43

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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.