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Finding the Fourth Proportional to 25,293.32, 37,938.48 and 7,763.30

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Solution

The fourth proportional to 25,293.32, 37,938.48 and 7,763.30 is: 11,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293.32 : 37,938.48 = 7,763.30 : x
  2. Step 2: Convert to fraction form
    25,293.32/37,938.48 = 7,763.30/x
  3. Step 3: Cross multiply
    25,293.32x = 37,938.48 × 7,763.30
  4. Step 4: Simplify right side
    25,293.32x = 294,527,801.78
  5. Step 5: Solve for x
    x = 294,527,801.78/25,293.32
  6. Step 6: Final answer
    x = 11,644.49

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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.