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Finding the Fourth Proportional to 7,837.05, 11,766 and 4,552.50

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Solution

The fourth proportional to 7,837.05, 11,766 and 4,552.50 is: 6,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.05 : 11,766 = 4,552.50 : x
  2. Step 2: Convert to fraction form
    7,837.05/11,766 = 4,552.50/x
  3. Step 3: Cross multiply
    7,837.05x = 11,766 × 4,552.50
  4. Step 4: Simplify right side
    7,837.05x = 53,564,715
  5. Step 5: Solve for x
    x = 53,564,715/7,837.05
  6. Step 6: Final answer
    x = 6,834.81

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Why These Related Problems?

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