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Finding the Fourth Proportional to 10,761.57, 16,142.36 and 2,970.18

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Solution

The fourth proportional to 10,761.57, 16,142.36 and 2,970.18 is: 4,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.57 : 16,142.36 = 2,970.18 : x
  2. Step 2: Convert to fraction form
    10,761.57/16,142.36 = 2,970.18/x
  3. Step 3: Cross multiply
    10,761.57x = 16,142.36 × 2,970.18
  4. Step 4: Simplify right side
    10,761.57x = 47,945,699.97
  5. Step 5: Solve for x
    x = 47,945,699.97/10,761.57
  6. Step 6: Final answer
    x = 4,455.27

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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.