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Finding the Fourth Proportional to 10,650.96, 14,697.45 and 6,173.28

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Solution

The fourth proportional to 10,650.96, 14,697.45 and 6,173.28 is: 8,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.96 : 14,697.45 = 6,173.28 : x
  2. Step 2: Convert to fraction form
    10,650.96/14,697.45 = 6,173.28/x
  3. Step 3: Cross multiply
    10,650.96x = 14,697.45 × 6,173.28
  4. Step 4: Simplify right side
    10,650.96x = 90,731,474.14
  5. Step 5: Solve for x
    x = 90,731,474.14/10,650.96
  6. Step 6: Final answer
    x = 8,518.62

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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.