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Finding the Fourth Proportional to 8,393, 12,591.76 and 7,474.86

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Solution

The fourth proportional to 8,393, 12,591.76 and 7,474.86 is: 11,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393 : 12,591.76 = 7,474.86 : x
  2. Step 2: Convert to fraction form
    8,393/12,591.76 = 7,474.86/x
  3. Step 3: Cross multiply
    8,393x = 12,591.76 × 7,474.86
  4. Step 4: Simplify right side
    8,393x = 94,121,643.15
  5. Step 5: Solve for x
    x = 94,121,643.15/8,393
  6. Step 6: Final answer
    x = 11,214.30

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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.