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Finding the Fourth Proportional to 10,151.77, 14,011.17 and 5,905.29

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Solution

The fourth proportional to 10,151.77, 14,011.17 and 5,905.29 is: 8,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.77 : 14,011.17 = 5,905.29 : x
  2. Step 2: Convert to fraction form
    10,151.77/14,011.17 = 5,905.29/x
  3. Step 3: Cross multiply
    10,151.77x = 14,011.17 × 5,905.29
  4. Step 4: Simplify right side
    10,151.77x = 82,740,027.16
  5. Step 5: Solve for x
    x = 82,740,027.16/10,151.77
  6. Step 6: Final answer
    x = 8,150.31

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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.