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Finding the Fourth Proportional to 26,487, 39,724.43 and 7,762.33

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Solution

The fourth proportional to 26,487, 39,724.43 and 7,762.33 is: 11,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,487 : 39,724.43 = 7,762.33 : x
  2. Step 2: Convert to fraction form
    26,487/39,724.43 = 7,762.33/x
  3. Step 3: Cross multiply
    26,487x = 39,724.43 × 7,762.33
  4. Step 4: Simplify right side
    26,487x = 308,354,145.57
  5. Step 5: Solve for x
    x = 308,354,145.57/26,487
  6. Step 6: Final answer
    x = 11,641.72

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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.