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Finding the Fourth Proportional to 8,138.89, 11,229.64 and 4,602.03

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Solution

The fourth proportional to 8,138.89, 11,229.64 and 4,602.03 is: 6,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.89 : 11,229.64 = 4,602.03 : x
  2. Step 2: Convert to fraction form
    8,138.89/11,229.64 = 4,602.03/x
  3. Step 3: Cross multiply
    8,138.89x = 11,229.64 × 4,602.03
  4. Step 4: Simplify right side
    8,138.89x = 51,679,140.17
  5. Step 5: Solve for x
    x = 51,679,140.17/8,138.89
  6. Step 6: Final answer
    x = 6,349.65

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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.