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Finding the Fourth Proportional to 8,140.10, 10,833.37 and 8,140.10

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Solution

The fourth proportional to 8,140.10, 10,833.37 and 8,140.10 is: 10,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.10 : 10,833.37 = 8,140.10 : x
  2. Step 2: Convert to fraction form
    8,140.10/10,833.37 = 8,140.10/x
  3. Step 3: Cross multiply
    8,140.10x = 10,833.37 × 8,140.10
  4. Step 4: Simplify right side
    8,140.10x = 88,184,674.44
  5. Step 5: Solve for x
    x = 88,184,674.44/8,140.10
  6. Step 6: Final answer
    x = 10,833.37

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.