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Finding the Fourth Proportional to 10,707.82, 16,057.74 and 3,685.88

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Solution

The fourth proportional to 10,707.82, 16,057.74 and 3,685.88 is: 5,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.82 : 16,057.74 = 3,685.88 : x
  2. Step 2: Convert to fraction form
    10,707.82/16,057.74 = 3,685.88/x
  3. Step 3: Cross multiply
    10,707.82x = 16,057.74 × 3,685.88
  4. Step 4: Simplify right side
    10,707.82x = 59,186,902.71
  5. Step 5: Solve for x
    x = 59,186,902.71/10,707.82
  6. Step 6: Final answer
    x = 5,527.45

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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.