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Finding the Fourth Proportional to 26,026, 39,040.08 and 7,558

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Solution

The fourth proportional to 26,026, 39,040.08 and 7,558 is: 11,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026 : 39,040.08 = 7,558 : x
  2. Step 2: Convert to fraction form
    26,026/39,040.08 = 7,558/x
  3. Step 3: Cross multiply
    26,026x = 39,040.08 × 7,558
  4. Step 4: Simplify right side
    26,026x = 295,064,924.64
  5. Step 5: Solve for x
    x = 295,064,924.64/26,026
  6. Step 6: Final answer
    x = 11,337.31

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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.