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Finding the Fourth Proportional to 10,170.05, 14,035.53 and 5,694.63

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Solution

The fourth proportional to 10,170.05, 14,035.53 and 5,694.63 is: 7,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.05 : 14,035.53 = 5,694.63 : x
  2. Step 2: Convert to fraction form
    10,170.05/14,035.53 = 5,694.63/x
  3. Step 3: Cross multiply
    10,170.05x = 14,035.53 × 5,694.63
  4. Step 4: Simplify right side
    10,170.05x = 79,927,150.20
  5. Step 5: Solve for x
    x = 79,927,150.20/10,170.05
  6. Step 6: Final answer
    x = 7,859.08

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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.