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Finding the Fourth Proportional to 8,291.84, 11,440.74 and 4,705.99

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Solution

The fourth proportional to 8,291.84, 11,440.74 and 4,705.99 is: 6,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.84 : 11,440.74 = 4,705.99 : x
  2. Step 2: Convert to fraction form
    8,291.84/11,440.74 = 4,705.99/x
  3. Step 3: Cross multiply
    8,291.84x = 11,440.74 × 4,705.99
  4. Step 4: Simplify right side
    8,291.84x = 53,840,022.33
  5. Step 5: Solve for x
    x = 53,840,022.33/8,291.84
  6. Step 6: Final answer
    x = 6,493.14

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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.