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Finding the Fourth Proportional to 8,686.83, 11,996.34 and 7,420.50

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Solution

The fourth proportional to 8,686.83, 11,996.34 and 7,420.50 is: 10,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.83 : 11,996.34 = 7,420.50 : x
  2. Step 2: Convert to fraction form
    8,686.83/11,996.34 = 7,420.50/x
  3. Step 3: Cross multiply
    8,686.83x = 11,996.34 × 7,420.50
  4. Step 4: Simplify right side
    8,686.83x = 89,018,813.14
  5. Step 5: Solve for x
    x = 89,018,813.14/8,686.83
  6. Step 6: Final answer
    x = 10,247.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.