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Finding the Fourth Proportional to 8,556.86, 12,816.39 and 5,259.62

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Solution

The fourth proportional to 8,556.86, 12,816.39 and 5,259.62 is: 7,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.86 : 12,816.39 = 5,259.62 : x
  2. Step 2: Convert to fraction form
    8,556.86/12,816.39 = 5,259.62/x
  3. Step 3: Cross multiply
    8,556.86x = 12,816.39 × 5,259.62
  4. Step 4: Simplify right side
    8,556.86x = 67,409,341.17
  5. Step 5: Solve for x
    x = 67,409,341.17/8,556.86
  6. Step 6: Final answer
    x = 7,877.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.