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Finding the Fourth Proportional to 26,460.09, 39,689.02 and 6,739.12

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Solution

The fourth proportional to 26,460.09, 39,689.02 and 6,739.12 is: 10,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,460.09 : 39,689.02 = 6,739.12 : x
  2. Step 2: Convert to fraction form
    26,460.09/39,689.02 = 6,739.12/x
  3. Step 3: Cross multiply
    26,460.09x = 39,689.02 × 6,739.12
  4. Step 4: Simplify right side
    26,460.09x = 267,469,126.50
  5. Step 5: Solve for x
    x = 267,469,126.50/26,460.09
  6. Step 6: Final answer
    x = 10,108.40

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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.