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Finding the Fourth Proportional to 10,707.96, 16,066.80 and 6,333.96

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Solution

The fourth proportional to 10,707.96, 16,066.80 and 6,333.96 is: 9,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.96 : 16,066.80 = 6,333.96 : x
  2. Step 2: Convert to fraction form
    10,707.96/16,066.80 = 6,333.96/x
  3. Step 3: Cross multiply
    10,707.96x = 16,066.80 × 6,333.96
  4. Step 4: Simplify right side
    10,707.96x = 101,766,468.53
  5. Step 5: Solve for x
    x = 101,766,468.53/10,707.96
  6. Step 6: Final answer
    x = 9,503.81

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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.