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Finding the Fourth Proportional to 10,708.96, 16,061.28 and 5,777.68

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Solution

The fourth proportional to 10,708.96, 16,061.28 and 5,777.68 is: 8,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.96 : 16,061.28 = 5,777.68 : x
  2. Step 2: Convert to fraction form
    10,708.96/16,061.28 = 5,777.68/x
  3. Step 3: Cross multiply
    10,708.96x = 16,061.28 × 5,777.68
  4. Step 4: Simplify right side
    10,708.96x = 92,796,936.23
  5. Step 5: Solve for x
    x = 92,796,936.23/10,708.96
  6. Step 6: Final answer
    x = 8,665.35

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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.