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Finding the Fourth Proportional to 8,280.41, 11,419.17 and 6,388.98

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Solution

The fourth proportional to 8,280.41, 11,419.17 and 6,388.98 is: 8,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.41 : 11,419.17 = 6,388.98 : x
  2. Step 2: Convert to fraction form
    8,280.41/11,419.17 = 6,388.98/x
  3. Step 3: Cross multiply
    8,280.41x = 11,419.17 × 6,388.98
  4. Step 4: Simplify right side
    8,280.41x = 72,956,848.75
  5. Step 5: Solve for x
    x = 72,956,848.75/8,280.41
  6. Step 6: Final answer
    x = 8,810.78

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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.