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Finding the Fourth Proportional to 6,820.61, 10,230.91 and 2,437.80

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Solution

The fourth proportional to 6,820.61, 10,230.91 and 2,437.80 is: 3,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.61 : 10,230.91 = 2,437.80 : x
  2. Step 2: Convert to fraction form
    6,820.61/10,230.91 = 2,437.80/x
  3. Step 3: Cross multiply
    6,820.61x = 10,230.91 × 2,437.80
  4. Step 4: Simplify right side
    6,820.61x = 24,940,867.94
  5. Step 5: Solve for x
    x = 24,940,867.94/6,820.61
  6. Step 6: Final answer
    x = 3,656.69

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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.