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Finding the Fourth Proportional to 8,184.90, 11,295.13 and 4,647.94

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Solution

The fourth proportional to 8,184.90, 11,295.13 and 4,647.94 is: 6,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.90 : 11,295.13 = 4,647.94 : x
  2. Step 2: Convert to fraction form
    8,184.90/11,295.13 = 4,647.94/x
  3. Step 3: Cross multiply
    8,184.90x = 11,295.13 × 4,647.94
  4. Step 4: Simplify right side
    8,184.90x = 52,499,086.53
  5. Step 5: Solve for x
    x = 52,499,086.53/8,184.90
  6. Step 6: Final answer
    x = 6,414.14

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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.