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Finding the Fourth Proportional to 10,501.92, 15,660 and 9,786.96

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Solution

The fourth proportional to 10,501.92, 15,660 and 9,786.96 is: 14,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.92 : 15,660 = 9,786.96 : x
  2. Step 2: Convert to fraction form
    10,501.92/15,660 = 9,786.96/x
  3. Step 3: Cross multiply
    10,501.92x = 15,660 × 9,786.96
  4. Step 4: Simplify right side
    10,501.92x = 153,263,793.60
  5. Step 5: Solve for x
    x = 153,263,793.60/10,501.92
  6. Step 6: Final answer
    x = 14,593.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.