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Finding the Fourth Proportional to 10,671.54, 16,000.42 and 4,435.82

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Solution

The fourth proportional to 10,671.54, 16,000.42 and 4,435.82 is: 6,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.54 : 16,000.42 = 4,435.82 : x
  2. Step 2: Convert to fraction form
    10,671.54/16,000.42 = 4,435.82/x
  3. Step 3: Cross multiply
    10,671.54x = 16,000.42 × 4,435.82
  4. Step 4: Simplify right side
    10,671.54x = 70,974,983.04
  5. Step 5: Solve for x
    x = 70,974,983.04/10,671.54
  6. Step 6: Final answer
    x = 6,650.87

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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.