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Finding the Fourth Proportional to 8,505.30, 11,734.51 and 5,146.84

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Solution

The fourth proportional to 8,505.30, 11,734.51 and 5,146.84 is: 7,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.30 : 11,734.51 = 5,146.84 : x
  2. Step 2: Convert to fraction form
    8,505.30/11,734.51 = 5,146.84/x
  3. Step 3: Cross multiply
    8,505.30x = 11,734.51 × 5,146.84
  4. Step 4: Simplify right side
    8,505.30x = 60,395,645.45
  5. Step 5: Solve for x
    x = 60,395,645.45/8,505.30
  6. Step 6: Final answer
    x = 7,100.94

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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.