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Finding the Fourth Proportional to 10,035.11, 13,847.81 and 5,785.95

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Solution

The fourth proportional to 10,035.11, 13,847.81 and 5,785.95 is: 7,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.11 : 13,847.81 = 5,785.95 : x
  2. Step 2: Convert to fraction form
    10,035.11/13,847.81 = 5,785.95/x
  3. Step 3: Cross multiply
    10,035.11x = 13,847.81 × 5,785.95
  4. Step 4: Simplify right side
    10,035.11x = 80,122,638.10
  5. Step 5: Solve for x
    x = 80,122,638.10/10,035.11
  6. Step 6: Final answer
    x = 7,984.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.