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Finding the Fourth Proportional to 8,533.64, 12,800.69 and 3,271.16

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Solution

The fourth proportional to 8,533.64, 12,800.69 and 3,271.16 is: 4,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.64 : 12,800.69 = 3,271.16 : x
  2. Step 2: Convert to fraction form
    8,533.64/12,800.69 = 3,271.16/x
  3. Step 3: Cross multiply
    8,533.64x = 12,800.69 × 3,271.16
  4. Step 4: Simplify right side
    8,533.64x = 41,873,024.74
  5. Step 5: Solve for x
    x = 41,873,024.74/8,533.64
  6. Step 6: Final answer
    x = 4,906.82

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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.