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Finding the Fourth Proportional to 7,583.01, 11,377.11 and 4,627.38

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Solution

The fourth proportional to 7,583.01, 11,377.11 and 4,627.38 is: 6,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.01 : 11,377.11 = 4,627.38 : x
  2. Step 2: Convert to fraction form
    7,583.01/11,377.11 = 4,627.38/x
  3. Step 3: Cross multiply
    7,583.01x = 11,377.11 × 4,627.38
  4. Step 4: Simplify right side
    7,583.01x = 52,646,211.27
  5. Step 5: Solve for x
    x = 52,646,211.27/7,583.01
  6. Step 6: Final answer
    x = 6,942.65

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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.