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Finding the Fourth Proportional to 6,837.30, 10,252.98 and 3,543.30

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Solution

The fourth proportional to 6,837.30, 10,252.98 and 3,543.30 is: 5,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.30 : 10,252.98 = 3,543.30 : x
  2. Step 2: Convert to fraction form
    6,837.30/10,252.98 = 3,543.30/x
  3. Step 3: Cross multiply
    6,837.30x = 10,252.98 × 3,543.30
  4. Step 4: Simplify right side
    6,837.30x = 36,329,384.03
  5. Step 5: Solve for x
    x = 36,329,384.03/6,837.30
  6. Step 6: Final answer
    x = 5,313.41

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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.