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Finding the Fourth Proportional to 8,201.90, 12,307.40 and 5,083.59

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Solution

The fourth proportional to 8,201.90, 12,307.40 and 5,083.59 is: 7,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.90 : 12,307.40 = 5,083.59 : x
  2. Step 2: Convert to fraction form
    8,201.90/12,307.40 = 5,083.59/x
  3. Step 3: Cross multiply
    8,201.90x = 12,307.40 × 5,083.59
  4. Step 4: Simplify right side
    8,201.90x = 62,565,750.15
  5. Step 5: Solve for x
    x = 62,565,750.15/8,201.90
  6. Step 6: Final answer
    x = 7,628.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.