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Finding the Fourth Proportional to 26,047, 39,076.98 and 7,579

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Solution

The fourth proportional to 26,047, 39,076.98 and 7,579 is: 11,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,047 : 39,076.98 = 7,579 : x
  2. Step 2: Convert to fraction form
    26,047/39,076.98 = 7,579/x
  3. Step 3: Cross multiply
    26,047x = 39,076.98 × 7,579
  4. Step 4: Simplify right side
    26,047x = 296,164,431.42
  5. Step 5: Solve for x
    x = 296,164,431.42/26,047
  6. Step 6: Final answer
    x = 11,370.39

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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.