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Finding the Fourth Proportional to 10,671.90, 16,010.57 and 4,098.57

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Solution

The fourth proportional to 10,671.90, 16,010.57 and 4,098.57 is: 6,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.90 : 16,010.57 = 4,098.57 : x
  2. Step 2: Convert to fraction form
    10,671.90/16,010.57 = 4,098.57/x
  3. Step 3: Cross multiply
    10,671.90x = 16,010.57 × 4,098.57
  4. Step 4: Simplify right side
    10,671.90x = 65,620,441.88
  5. Step 5: Solve for x
    x = 65,620,441.88/10,671.90
  6. Step 6: Final answer
    x = 6,148.90

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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.