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Finding the Fourth Proportional to 8,243.88, 12,365.76 and 7,008.36

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Solution

The fourth proportional to 8,243.88, 12,365.76 and 7,008.36 is: 10,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.88 : 12,365.76 = 7,008.36 : x
  2. Step 2: Convert to fraction form
    8,243.88/12,365.76 = 7,008.36/x
  3. Step 3: Cross multiply
    8,243.88x = 12,365.76 × 7,008.36
  4. Step 4: Simplify right side
    8,243.88x = 86,663,697.75
  5. Step 5: Solve for x
    x = 86,663,697.75/8,243.88
  6. Step 6: Final answer
    x = 10,512.49

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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.