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Finding the Fourth Proportional to 8,534.61, 12,801.83 and 2,209.46

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Solution

The fourth proportional to 8,534.61, 12,801.83 and 2,209.46 is: 3,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.61 : 12,801.83 = 2,209.46 : x
  2. Step 2: Convert to fraction form
    8,534.61/12,801.83 = 2,209.46/x
  3. Step 3: Cross multiply
    8,534.61x = 12,801.83 × 2,209.46
  4. Step 4: Simplify right side
    8,534.61x = 28,285,056.26
  5. Step 5: Solve for x
    x = 28,285,056.26/8,534.61
  6. Step 6: Final answer
    x = 3,314.16

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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.