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Finding the Fourth Proportional to 8,200.64, 12,300.86 and 2,357.30

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Solution

The fourth proportional to 8,200.64, 12,300.86 and 2,357.30 is: 3,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.64 : 12,300.86 = 2,357.30 : x
  2. Step 2: Convert to fraction form
    8,200.64/12,300.86 = 2,357.30/x
  3. Step 3: Cross multiply
    8,200.64x = 12,300.86 × 2,357.30
  4. Step 4: Simplify right side
    8,200.64x = 28,996,853.92
  5. Step 5: Solve for x
    x = 28,996,853.92/8,200.64
  6. Step 6: Final answer
    x = 3,535.92

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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.