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Finding the Fourth Proportional to 10,170.47, 14,035.10 and 5,694.20

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Solution

The fourth proportional to 10,170.47, 14,035.10 and 5,694.20 is: 7,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.47 : 14,035.10 = 5,694.20 : x
  2. Step 2: Convert to fraction form
    10,170.47/14,035.10 = 5,694.20/x
  3. Step 3: Cross multiply
    10,170.47x = 14,035.10 × 5,694.20
  4. Step 4: Simplify right side
    10,170.47x = 79,918,567.77
  5. Step 5: Solve for x
    x = 79,918,567.77/10,170.47
  6. Step 6: Final answer
    x = 7,857.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.