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Finding the Fourth Proportional to 8,220.86, 11,334.89 and 5,705.12

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Solution

The fourth proportional to 8,220.86, 11,334.89 and 5,705.12 is: 7,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.86 : 11,334.89 = 5,705.12 : x
  2. Step 2: Convert to fraction form
    8,220.86/11,334.89 = 5,705.12/x
  3. Step 3: Cross multiply
    8,220.86x = 11,334.89 × 5,705.12
  4. Step 4: Simplify right side
    8,220.86x = 64,666,907.64
  5. Step 5: Solve for x
    x = 64,666,907.64/8,220.86
  6. Step 6: Final answer
    x = 7,866.20

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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.