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Finding the Fourth Proportional to 8,396.79, 12,592.29 and 3,463.89

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Solution

The fourth proportional to 8,396.79, 12,592.29 and 3,463.89 is: 5,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.79 : 12,592.29 = 3,463.89 : x
  2. Step 2: Convert to fraction form
    8,396.79/12,592.29 = 3,463.89/x
  3. Step 3: Cross multiply
    8,396.79x = 12,592.29 × 3,463.89
  4. Step 4: Simplify right side
    8,396.79x = 43,618,307.41
  5. Step 5: Solve for x
    x = 43,618,307.41/8,396.79
  6. Step 6: Final answer
    x = 5,194.64

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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.