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Finding the Fourth Proportional to 8,464.67, 12,693.87 and 3,534.64

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Solution

The fourth proportional to 8,464.67, 12,693.87 and 3,534.64 is: 5,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.67 : 12,693.87 = 3,534.64 : x
  2. Step 2: Convert to fraction form
    8,464.67/12,693.87 = 3,534.64/x
  3. Step 3: Cross multiply
    8,464.67x = 12,693.87 × 3,534.64
  4. Step 4: Simplify right side
    8,464.67x = 44,868,276.52
  5. Step 5: Solve for x
    x = 44,868,276.52/8,464.67
  6. Step 6: Final answer
    x = 5,300.65

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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.