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Finding the Fourth Proportional to 6,102.83, 8,421.92 and 3,308.33

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Solution

The fourth proportional to 6,102.83, 8,421.92 and 3,308.33 is: 4,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.83 : 8,421.92 = 3,308.33 : x
  2. Step 2: Convert to fraction form
    6,102.83/8,421.92 = 3,308.33/x
  3. Step 3: Cross multiply
    6,102.83x = 8,421.92 × 3,308.33
  4. Step 4: Simplify right side
    6,102.83x = 27,862,490.59
  5. Step 5: Solve for x
    x = 27,862,490.59/6,102.83
  6. Step 6: Final answer
    x = 4,565.50

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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.