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Finding the Fourth Proportional to 25,252.63, 37,865.54 and 7,717.75

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Solution

The fourth proportional to 25,252.63, 37,865.54 and 7,717.75 is: 11,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252.63 : 37,865.54 = 7,717.75 : x
  2. Step 2: Convert to fraction form
    25,252.63/37,865.54 = 7,717.75/x
  3. Step 3: Cross multiply
    25,252.63x = 37,865.54 × 7,717.75
  4. Step 4: Simplify right side
    25,252.63x = 292,236,695.97
  5. Step 5: Solve for x
    x = 292,236,695.97/25,252.63
  6. Step 6: Final answer
    x = 11,572.53

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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.