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Finding the Fourth Proportional to 8,506.14, 11,734.65 and 4,967.25

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Solution

The fourth proportional to 8,506.14, 11,734.65 and 4,967.25 is: 6,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.14 : 11,734.65 = 4,967.25 : x
  2. Step 2: Convert to fraction form
    8,506.14/11,734.65 = 4,967.25/x
  3. Step 3: Cross multiply
    8,506.14x = 11,734.65 × 4,967.25
  4. Step 4: Simplify right side
    8,506.14x = 58,288,940.21
  5. Step 5: Solve for x
    x = 58,288,940.21/8,506.14
  6. Step 6: Final answer
    x = 6,852.57

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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.