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Finding the Fourth Proportional to 8,363.35, 11,555.76 and 8,064

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Solution

The fourth proportional to 8,363.35, 11,555.76 and 8,064 is: 11,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.35 : 11,555.76 = 8,064 : x
  2. Step 2: Convert to fraction form
    8,363.35/11,555.76 = 8,064/x
  3. Step 3: Cross multiply
    8,363.35x = 11,555.76 × 8,064
  4. Step 4: Simplify right side
    8,363.35x = 93,185,648.64
  5. Step 5: Solve for x
    x = 93,185,648.64/8,363.35
  6. Step 6: Final answer
    x = 11,142.15

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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.