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Finding the Fourth Proportional to 26,002, 39,009.48 and 7,534

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Solution

The fourth proportional to 26,002, 39,009.48 and 7,534 is: 11,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002 : 39,009.48 = 7,534 : x
  2. Step 2: Convert to fraction form
    26,002/39,009.48 = 7,534/x
  3. Step 3: Cross multiply
    26,002x = 39,009.48 × 7,534
  4. Step 4: Simplify right side
    26,002x = 293,897,422.32
  5. Step 5: Solve for x
    x = 293,897,422.32/26,002
  6. Step 6: Final answer
    x = 11,302.88

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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.