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Finding the Fourth Proportional to 10,158.77, 14,027.76 and 6,388.24

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Solution

The fourth proportional to 10,158.77, 14,027.76 and 6,388.24 is: 8,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.77 : 14,027.76 = 6,388.24 : x
  2. Step 2: Convert to fraction form
    10,158.77/14,027.76 = 6,388.24/x
  3. Step 3: Cross multiply
    10,158.77x = 14,027.76 × 6,388.24
  4. Step 4: Simplify right side
    10,158.77x = 89,612,697.54
  5. Step 5: Solve for x
    x = 89,612,697.54/10,158.77
  6. Step 6: Final answer
    x = 8,821.22

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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.