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Finding the Fourth Proportional to 8,334.10, 11,505.86 and 6,221.28

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Solution

The fourth proportional to 8,334.10, 11,505.86 and 6,221.28 is: 8,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.10 : 11,505.86 = 6,221.28 : x
  2. Step 2: Convert to fraction form
    8,334.10/11,505.86 = 6,221.28/x
  3. Step 3: Cross multiply
    8,334.10x = 11,505.86 × 6,221.28
  4. Step 4: Simplify right side
    8,334.10x = 71,581,088.07
  5. Step 5: Solve for x
    x = 71,581,088.07/8,334.10
  6. Step 6: Final answer
    x = 8,588.94

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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.