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Finding the Fourth Proportional to 8,824.59, 13,229.94 and 6,042.84

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Solution

The fourth proportional to 8,824.59, 13,229.94 and 6,042.84 is: 9,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.59 : 13,229.94 = 6,042.84 : x
  2. Step 2: Convert to fraction form
    8,824.59/13,229.94 = 6,042.84/x
  3. Step 3: Cross multiply
    8,824.59x = 13,229.94 × 6,042.84
  4. Step 4: Simplify right side
    8,824.59x = 79,946,410.63
  5. Step 5: Solve for x
    x = 79,946,410.63/8,824.59
  6. Step 6: Final answer
    x = 9,059.50

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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.