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Finding the Fourth Proportional to 6,935.56, 10,402.31 and 2,552.00

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Solution

The fourth proportional to 6,935.56, 10,402.31 and 2,552.00 is: 3,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.56 : 10,402.31 = 2,552.00 : x
  2. Step 2: Convert to fraction form
    6,935.56/10,402.31 = 2,552.00/x
  3. Step 3: Cross multiply
    6,935.56x = 10,402.31 × 2,552.00
  4. Step 4: Simplify right side
    6,935.56x = 26,546,649.49
  5. Step 5: Solve for x
    x = 26,546,649.49/6,935.56
  6. Step 6: Final answer
    x = 3,827.62

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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.