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Finding the Fourth Proportional to 8,203.08, 12,303.12 and 3,523.92

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Solution

The fourth proportional to 8,203.08, 12,303.12 and 3,523.92 is: 5,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.08 : 12,303.12 = 3,523.92 : x
  2. Step 2: Convert to fraction form
    8,203.08/12,303.12 = 3,523.92/x
  3. Step 3: Cross multiply
    8,203.08x = 12,303.12 × 3,523.92
  4. Step 4: Simplify right side
    8,203.08x = 43,355,210.63
  5. Step 5: Solve for x
    x = 43,355,210.63/8,203.08
  6. Step 6: Final answer
    x = 5,285.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.