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Finding the Fourth Proportional to 8,264.25, 12,396.38 and 7,848.99

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Solution

The fourth proportional to 8,264.25, 12,396.38 and 7,848.99 is: 11,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.25 : 12,396.38 = 7,848.99 : x
  2. Step 2: Convert to fraction form
    8,264.25/12,396.38 = 7,848.99/x
  3. Step 3: Cross multiply
    8,264.25x = 12,396.38 × 7,848.99
  4. Step 4: Simplify right side
    8,264.25x = 97,299,023.41
  5. Step 5: Solve for x
    x = 97,299,023.41/8,264.25
  6. Step 6: Final answer
    x = 11,773.49

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Similar ratio
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1.5x scale

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.