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Finding the Fourth Proportional to 25,264.53, 37,894.28 and 7,734.51

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Solution

The fourth proportional to 25,264.53, 37,894.28 and 7,734.51 is: 11,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.53 : 37,894.28 = 7,734.51 : x
  2. Step 2: Convert to fraction form
    25,264.53/37,894.28 = 7,734.51/x
  3. Step 3: Cross multiply
    25,264.53x = 37,894.28 × 7,734.51
  4. Step 4: Simplify right side
    25,264.53x = 293,093,648.93
  5. Step 5: Solve for x
    x = 293,093,648.93/25,264.53
  6. Step 6: Final answer
    x = 11,600.99

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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.