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Finding the Fourth Proportional to 26,508, 39,762.24 and 8,040

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Solution

The fourth proportional to 26,508, 39,762.24 and 8,040 is: 12,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,508 : 39,762.24 = 8,040 : x
  2. Step 2: Convert to fraction form
    26,508/39,762.24 = 8,040/x
  3. Step 3: Cross multiply
    26,508x = 39,762.24 × 8,040
  4. Step 4: Simplify right side
    26,508x = 319,688,409.60
  5. Step 5: Solve for x
    x = 319,688,409.60/26,508
  6. Step 6: Final answer
    x = 12,060.07

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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.