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Finding the Fourth Proportional to 25,984.33, 38,978.55 and 7,264.49

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Solution

The fourth proportional to 25,984.33, 38,978.55 and 7,264.49 is: 10,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.33 : 38,978.55 = 7,264.49 : x
  2. Step 2: Convert to fraction form
    25,984.33/38,978.55 = 7,264.49/x
  3. Step 3: Cross multiply
    25,984.33x = 38,978.55 × 7,264.49
  4. Step 4: Simplify right side
    25,984.33x = 283,159,091.80
  5. Step 5: Solve for x
    x = 283,159,091.80/25,984.33
  6. Step 6: Final answer
    x = 10,897.30

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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.