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Finding the Fourth Proportional to 7,718.87, 11,573.44 and 5,083.54

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Solution

The fourth proportional to 7,718.87, 11,573.44 and 5,083.54 is: 7,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.87 : 11,573.44 = 5,083.54 : x
  2. Step 2: Convert to fraction form
    7,718.87/11,573.44 = 5,083.54/x
  3. Step 3: Cross multiply
    7,718.87x = 11,573.44 × 5,083.54
  4. Step 4: Simplify right side
    7,718.87x = 58,834,045.18
  5. Step 5: Solve for x
    x = 58,834,045.18/7,718.87
  6. Step 6: Final answer
    x = 7,622.11

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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.