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Finding the Fourth Proportional to 8,038.67, 11,083.01 and 5,201.01

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Solution

The fourth proportional to 8,038.67, 11,083.01 and 5,201.01 is: 7,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.67 : 11,083.01 = 5,201.01 : x
  2. Step 2: Convert to fraction form
    8,038.67/11,083.01 = 5,201.01/x
  3. Step 3: Cross multiply
    8,038.67x = 11,083.01 × 5,201.01
  4. Step 4: Simplify right side
    8,038.67x = 57,642,819.84
  5. Step 5: Solve for x
    x = 57,642,819.84/8,038.67
  6. Step 6: Final answer
    x = 7,170.70

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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.