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Finding the Fourth Proportional to 8,197.56, 12,298.56 and 2,354.64

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Solution

The fourth proportional to 8,197.56, 12,298.56 and 2,354.64 is: 3,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.56 : 12,298.56 = 2,354.64 : x
  2. Step 2: Convert to fraction form
    8,197.56/12,298.56 = 2,354.64/x
  3. Step 3: Cross multiply
    8,197.56x = 12,298.56 × 2,354.64
  4. Step 4: Simplify right side
    8,197.56x = 28,958,681.32
  5. Step 5: Solve for x
    x = 28,958,681.32/8,197.56
  6. Step 6: Final answer
    x = 3,532.60

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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.