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Finding the Fourth Proportional to 8,140.68, 11,234.04 and 4,603.80

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Solution

The fourth proportional to 8,140.68, 11,234.04 and 4,603.80 is: 6,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.68 : 11,234.04 = 4,603.80 : x
  2. Step 2: Convert to fraction form
    8,140.68/11,234.04 = 4,603.80/x
  3. Step 3: Cross multiply
    8,140.68x = 11,234.04 × 4,603.80
  4. Step 4: Simplify right side
    8,140.68x = 51,719,273.35
  5. Step 5: Solve for x
    x = 51,719,273.35/8,140.68
  6. Step 6: Final answer
    x = 6,353.19

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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.