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Finding the Fourth Proportional to 8,200.10, 12,302.07 and 2,356.58

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Solution

The fourth proportional to 8,200.10, 12,302.07 and 2,356.58 is: 3,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.10 : 12,302.07 = 2,356.58 : x
  2. Step 2: Convert to fraction form
    8,200.10/12,302.07 = 2,356.58/x
  3. Step 3: Cross multiply
    8,200.10x = 12,302.07 × 2,356.58
  4. Step 4: Simplify right side
    8,200.10x = 28,990,812.12
  5. Step 5: Solve for x
    x = 28,990,812.12/8,200.10
  6. Step 6: Final answer
    x = 3,535.42

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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.