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Finding the Fourth Proportional to 8,522, 12,784.08 and 2,366

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Solution

The fourth proportional to 8,522, 12,784.08 and 2,366 is: 3,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522 : 12,784.08 = 2,366 : x
  2. Step 2: Convert to fraction form
    8,522/12,784.08 = 2,366/x
  3. Step 3: Cross multiply
    8,522x = 12,784.08 × 2,366
  4. Step 4: Simplify right side
    8,522x = 30,247,133.28
  5. Step 5: Solve for x
    x = 30,247,133.28/8,522
  6. Step 6: Final answer
    x = 3,549.30

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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.