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Finding the Fourth Proportional to 7,863.18, 11,803.65 and 5,380.25

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Solution

The fourth proportional to 7,863.18, 11,803.65 and 5,380.25 is: 8,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.18 : 11,803.65 = 5,380.25 : x
  2. Step 2: Convert to fraction form
    7,863.18/11,803.65 = 5,380.25/x
  3. Step 3: Cross multiply
    7,863.18x = 11,803.65 × 5,380.25
  4. Step 4: Simplify right side
    7,863.18x = 63,506,557.05
  5. Step 5: Solve for x
    x = 63,506,557.05/7,863.18
  6. Step 6: Final answer
    x = 8,076.45

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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.