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Finding the Fourth Proportional to 10,682.34, 16,017.09 and 4,434.81

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Solution

The fourth proportional to 10,682.34, 16,017.09 and 4,434.81 is: 6,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.34 : 16,017.09 = 4,434.81 : x
  2. Step 2: Convert to fraction form
    10,682.34/16,017.09 = 4,434.81/x
  3. Step 3: Cross multiply
    10,682.34x = 16,017.09 × 4,434.81
  4. Step 4: Simplify right side
    10,682.34x = 71,032,750.90
  5. Step 5: Solve for x
    x = 71,032,750.90/10,682.34
  6. Step 6: Final answer
    x = 6,649.55

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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.