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Finding the Fourth Proportional to 6,837.78, 10,253 and 3,542.70

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Solution

The fourth proportional to 6,837.78, 10,253 and 3,542.70 is: 5,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.78 : 10,253 = 3,542.70 : x
  2. Step 2: Convert to fraction form
    6,837.78/10,253 = 3,542.70/x
  3. Step 3: Cross multiply
    6,837.78x = 10,253 × 3,542.70
  4. Step 4: Simplify right side
    6,837.78x = 36,323,303.10
  5. Step 5: Solve for x
    x = 36,323,303.10/6,837.78
  6. Step 6: Final answer
    x = 5,312.15

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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.