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Finding the Fourth Proportional to 10,542.96, 15,817.14 and 3,970.98

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Solution

The fourth proportional to 10,542.96, 15,817.14 and 3,970.98 is: 5,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.96 : 15,817.14 = 3,970.98 : x
  2. Step 2: Convert to fraction form
    10,542.96/15,817.14 = 3,970.98/x
  3. Step 3: Cross multiply
    10,542.96x = 15,817.14 × 3,970.98
  4. Step 4: Simplify right side
    10,542.96x = 62,809,546.60
  5. Step 5: Solve for x
    x = 62,809,546.60/10,542.96
  6. Step 6: Final answer
    x = 5,957.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.