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Finding the Fourth Proportional to 10,699.84, 16,051.56 and 3,679.57

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Solution

The fourth proportional to 10,699.84, 16,051.56 and 3,679.57 is: 5,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.84 : 16,051.56 = 3,679.57 : x
  2. Step 2: Convert to fraction form
    10,699.84/16,051.56 = 3,679.57/x
  3. Step 3: Cross multiply
    10,699.84x = 16,051.56 × 3,679.57
  4. Step 4: Simplify right side
    10,699.84x = 59,062,844.90
  5. Step 5: Solve for x
    x = 59,062,844.90/10,699.84
  6. Step 6: Final answer
    x = 5,519.97

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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.