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Finding the Fourth Proportional to 7,033.13, 10,549.79 and 1,839

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Solution

The fourth proportional to 7,033.13, 10,549.79 and 1,839 is: 2,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.13 : 10,549.79 = 1,839 : x
  2. Step 2: Convert to fraction form
    7,033.13/10,549.79 = 1,839/x
  3. Step 3: Cross multiply
    7,033.13x = 10,549.79 × 1,839
  4. Step 4: Simplify right side
    7,033.13x = 19,401,063.81
  5. Step 5: Solve for x
    x = 19,401,063.81/7,033.13
  6. Step 6: Final answer
    x = 2,758.52

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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.