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Finding the Fourth Proportional to 26,264.68, 39,391 and 7,544.57

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Solution

The fourth proportional to 26,264.68, 39,391 and 7,544.57 is: 11,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,264.68 : 39,391 = 7,544.57 : x
  2. Step 2: Convert to fraction form
    26,264.68/39,391 = 7,544.57/x
  3. Step 3: Cross multiply
    26,264.68x = 39,391 × 7,544.57
  4. Step 4: Simplify right side
    26,264.68x = 297,188,156.87
  5. Step 5: Solve for x
    x = 297,188,156.87/26,264.68
  6. Step 6: Final answer
    x = 11,315.13

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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.