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Finding the Fourth Proportional to 8,086.30, 11,155.80 and 6,496.95

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Solution

The fourth proportional to 8,086.30, 11,155.80 and 6,496.95 is: 8,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.30 : 11,155.80 = 6,496.95 : x
  2. Step 2: Convert to fraction form
    8,086.30/11,155.80 = 6,496.95/x
  3. Step 3: Cross multiply
    8,086.30x = 11,155.80 × 6,496.95
  4. Step 4: Simplify right side
    8,086.30x = 72,478,674.81
  5. Step 5: Solve for x
    x = 72,478,674.81/8,086.30
  6. Step 6: Final answer
    x = 8,963.14

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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.