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Finding the Fourth Proportional to 8,140.77, 11,234.70 and 5,155.52

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Solution

The fourth proportional to 8,140.77, 11,234.70 and 5,155.52 is: 7,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.77 : 11,234.70 = 5,155.52 : x
  2. Step 2: Convert to fraction form
    8,140.77/11,234.70 = 5,155.52/x
  3. Step 3: Cross multiply
    8,140.77x = 11,234.70 × 5,155.52
  4. Step 4: Simplify right side
    8,140.77x = 57,920,664.37
  5. Step 5: Solve for x
    x = 57,920,664.37/8,140.77
  6. Step 6: Final answer
    x = 7,114.89

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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.