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Finding the Fourth Proportional to 6,102.65, 8,421.69 and 3,308.15

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Solution

The fourth proportional to 6,102.65, 8,421.69 and 3,308.15 is: 4,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.65 : 8,421.69 = 3,308.15 : x
  2. Step 2: Convert to fraction form
    6,102.65/8,421.69 = 3,308.15/x
  3. Step 3: Cross multiply
    6,102.65x = 8,421.69 × 3,308.15
  4. Step 4: Simplify right side
    6,102.65x = 27,860,171.67
  5. Step 5: Solve for x
    x = 27,860,171.67/6,102.65
  6. Step 6: Final answer
    x = 4,565.26

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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.