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Finding the Fourth Proportional to 7,083.38, 10,611.74 and 4,152.98

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Solution

The fourth proportional to 7,083.38, 10,611.74 and 4,152.98 is: 6,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.38 : 10,611.74 = 4,152.98 : x
  2. Step 2: Convert to fraction form
    7,083.38/10,611.74 = 4,152.98/x
  3. Step 3: Cross multiply
    7,083.38x = 10,611.74 × 4,152.98
  4. Step 4: Simplify right side
    7,083.38x = 44,070,343.99
  5. Step 5: Solve for x
    x = 44,070,343.99/7,083.38
  6. Step 6: Final answer
    x = 6,221.65

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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.