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Finding the Fourth Proportional to 8,200.14, 12,302.15 and 2,653.05

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Solution

The fourth proportional to 8,200.14, 12,302.15 and 2,653.05 is: 3,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.14 : 12,302.15 = 2,653.05 : x
  2. Step 2: Convert to fraction form
    8,200.14/12,302.15 = 2,653.05/x
  3. Step 3: Cross multiply
    8,200.14x = 12,302.15 × 2,653.05
  4. Step 4: Simplify right side
    8,200.14x = 32,638,251.93
  5. Step 5: Solve for x
    x = 32,638,251.93/8,200.14
  6. Step 6: Final answer
    x = 3,980.21

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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.