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Finding the Fourth Proportional to 8,184.84, 11,295.09 and 4,648.05

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Solution

The fourth proportional to 8,184.84, 11,295.09 and 4,648.05 is: 6,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.84 : 11,295.09 = 4,648.05 : x
  2. Step 2: Convert to fraction form
    8,184.84/11,295.09 = 4,648.05/x
  3. Step 3: Cross multiply
    8,184.84x = 11,295.09 × 4,648.05
  4. Step 4: Simplify right side
    8,184.84x = 52,500,143.07
  5. Step 5: Solve for x
    x = 52,500,143.07/8,184.84
  6. Step 6: Final answer
    x = 6,414.32

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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.