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Finding the Fourth Proportional to 10,911.31, 16,370.10 and 4,671.68

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Solution

The fourth proportional to 10,911.31, 16,370.10 and 4,671.68 is: 7,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.31 : 16,370.10 = 4,671.68 : x
  2. Step 2: Convert to fraction form
    10,911.31/16,370.10 = 4,671.68/x
  3. Step 3: Cross multiply
    10,911.31x = 16,370.10 × 4,671.68
  4. Step 4: Simplify right side
    10,911.31x = 76,475,786.92
  5. Step 5: Solve for x
    x = 76,475,786.92/10,911.31
  6. Step 6: Final answer
    x = 7,008.86

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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.