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Finding the Fourth Proportional to 10,782, 16,173 and 3,386.34

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Solution

The fourth proportional to 10,782, 16,173 and 3,386.34 is: 5,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 16,173 = 3,386.34 : x
  2. Step 2: Convert to fraction form
    10,782/16,173 = 3,386.34/x
  3. Step 3: Cross multiply
    10,782x = 16,173 × 3,386.34
  4. Step 4: Simplify right side
    10,782x = 54,767,276.82
  5. Step 5: Solve for x
    x = 54,767,276.82/10,782
  6. Step 6: Final answer
    x = 5,079.51

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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.