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Finding the Fourth Proportional to 8,095.63, 11,172.25 and 4,738.76

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Solution

The fourth proportional to 8,095.63, 11,172.25 and 4,738.76 is: 6,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.63 : 11,172.25 = 4,738.76 : x
  2. Step 2: Convert to fraction form
    8,095.63/11,172.25 = 4,738.76/x
  3. Step 3: Cross multiply
    8,095.63x = 11,172.25 × 4,738.76
  4. Step 4: Simplify right side
    8,095.63x = 52,942,611.41
  5. Step 5: Solve for x
    x = 52,942,611.41/8,095.63
  6. Step 6: Final answer
    x = 6,539.65

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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.