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Finding the Fourth Proportional to 8,093.25, 12,143.52 and 4,630.50

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Solution

The fourth proportional to 8,093.25, 12,143.52 and 4,630.50 is: 6,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.25 : 12,143.52 = 4,630.50 : x
  2. Step 2: Convert to fraction form
    8,093.25/12,143.52 = 4,630.50/x
  3. Step 3: Cross multiply
    8,093.25x = 12,143.52 × 4,630.50
  4. Step 4: Simplify right side
    8,093.25x = 56,230,569.36
  5. Step 5: Solve for x
    x = 56,230,569.36/8,093.25
  6. Step 6: Final answer
    x = 6,947.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.