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Finding the Fourth Proportional to 8,192.88, 12,289.30 and 6,541.68

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Solution

The fourth proportional to 8,192.88, 12,289.30 and 6,541.68 is: 9,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.88 : 12,289.30 = 6,541.68 : x
  2. Step 2: Convert to fraction form
    8,192.88/12,289.30 = 6,541.68/x
  3. Step 3: Cross multiply
    8,192.88x = 12,289.30 × 6,541.68
  4. Step 4: Simplify right side
    8,192.88x = 80,392,668.02
  5. Step 5: Solve for x
    x = 80,392,668.02/8,192.88
  6. Step 6: Final answer
    x = 9,812.50

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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.