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Finding the Fourth Proportional to 10,671.62, 16,009.31 and 3,649.98

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Solution

The fourth proportional to 10,671.62, 16,009.31 and 3,649.98 is: 5,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.62 : 16,009.31 = 3,649.98 : x
  2. Step 2: Convert to fraction form
    10,671.62/16,009.31 = 3,649.98/x
  3. Step 3: Cross multiply
    10,671.62x = 16,009.31 × 3,649.98
  4. Step 4: Simplify right side
    10,671.62x = 58,433,683.09
  5. Step 5: Solve for x
    x = 58,433,683.09/10,671.62
  6. Step 6: Final answer
    x = 5,475.62

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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.