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Finding the Fourth Proportional to 10,170.90, 14,035.07 and 5,693.63

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Solution

The fourth proportional to 10,170.90, 14,035.07 and 5,693.63 is: 7,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.90 : 14,035.07 = 5,693.63 : x
  2. Step 2: Convert to fraction form
    10,170.90/14,035.07 = 5,693.63/x
  3. Step 3: Cross multiply
    10,170.90x = 14,035.07 × 5,693.63
  4. Step 4: Simplify right side
    10,170.90x = 79,910,439.66
  5. Step 5: Solve for x
    x = 79,910,439.66/10,170.90
  6. Step 6: Final answer
    x = 7,856.77

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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.