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Finding the Fourth Proportional to 6,836.66, 10,253.50 and 2,156.07

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Solution

The fourth proportional to 6,836.66, 10,253.50 and 2,156.07 is: 3,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.66 : 10,253.50 = 2,156.07 : x
  2. Step 2: Convert to fraction form
    6,836.66/10,253.50 = 2,156.07/x
  3. Step 3: Cross multiply
    6,836.66x = 10,253.50 × 2,156.07
  4. Step 4: Simplify right side
    6,836.66x = 22,107,263.75
  5. Step 5: Solve for x
    x = 22,107,263.75/6,836.66
  6. Step 6: Final answer
    x = 3,233.64

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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.