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Finding the Fourth Proportional to 7,894.45, 10,896.49 and 4,537.61

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Solution

The fourth proportional to 7,894.45, 10,896.49 and 4,537.61 is: 6,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.45 : 10,896.49 = 4,537.61 : x
  2. Step 2: Convert to fraction form
    7,894.45/10,896.49 = 4,537.61/x
  3. Step 3: Cross multiply
    7,894.45x = 10,896.49 × 4,537.61
  4. Step 4: Simplify right side
    7,894.45x = 49,444,021.99
  5. Step 5: Solve for x
    x = 49,444,021.99/7,894.45
  6. Step 6: Final answer
    x = 6,263.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.