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Finding the Fourth Proportional to 6,834.84, 10,261.98 and 5,201.88

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Solution

The fourth proportional to 6,834.84, 10,261.98 and 5,201.88 is: 7,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.84 : 10,261.98 = 5,201.88 : x
  2. Step 2: Convert to fraction form
    6,834.84/10,261.98 = 5,201.88/x
  3. Step 3: Cross multiply
    6,834.84x = 10,261.98 × 5,201.88
  4. Step 4: Simplify right side
    6,834.84x = 53,381,588.52
  5. Step 5: Solve for x
    x = 53,381,588.52/6,834.84
  6. Step 6: Final answer
    x = 7,810.22

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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.