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Finding the Fourth Proportional to 27,598.45, 41,398.08 and 7,877.02

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Solution

The fourth proportional to 27,598.45, 41,398.08 and 7,877.02 is: 11,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.45 : 41,398.08 = 7,877.02 : x
  2. Step 2: Convert to fraction form
    27,598.45/41,398.08 = 7,877.02/x
  3. Step 3: Cross multiply
    27,598.45x = 41,398.08 × 7,877.02
  4. Step 4: Simplify right side
    27,598.45x = 326,093,504.12
  5. Step 5: Solve for x
    x = 326,093,504.12/27,598.45
  6. Step 6: Final answer
    x = 11,815.65

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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.