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Finding the Fourth Proportional to 6,801.19, 10,199.29 and 2,357.70

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Solution

The fourth proportional to 6,801.19, 10,199.29 and 2,357.70 is: 3,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.19 : 10,199.29 = 2,357.70 : x
  2. Step 2: Convert to fraction form
    6,801.19/10,199.29 = 2,357.70/x
  3. Step 3: Cross multiply
    6,801.19x = 10,199.29 × 2,357.70
  4. Step 4: Simplify right side
    6,801.19x = 24,046,866.03
  5. Step 5: Solve for x
    x = 24,046,866.03/6,801.19
  6. Step 6: Final answer
    x = 3,535.69

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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.