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Finding the Fourth Proportional to 10,450.08, 15,707.88 and 9,662.76

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Solution

The fourth proportional to 10,450.08, 15,707.88 and 9,662.76 is: 14,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.08 : 15,707.88 = 9,662.76 : x
  2. Step 2: Convert to fraction form
    10,450.08/15,707.88 = 9,662.76/x
  3. Step 3: Cross multiply
    10,450.08x = 15,707.88 × 9,662.76
  4. Step 4: Simplify right side
    10,450.08x = 151,781,474.55
  5. Step 5: Solve for x
    x = 151,781,474.55/10,450.08
  6. Step 6: Final answer
    x = 14,524.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.