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Finding the Fourth Proportional to 27,112.86, 40,665.18 and 7,393

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Solution

The fourth proportional to 27,112.86, 40,665.18 and 7,393 is: 11,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112.86 : 40,665.18 = 7,393 : x
  2. Step 2: Convert to fraction form
    27,112.86/40,665.18 = 7,393/x
  3. Step 3: Cross multiply
    27,112.86x = 40,665.18 × 7,393
  4. Step 4: Simplify right side
    27,112.86x = 300,637,675.74
  5. Step 5: Solve for x
    x = 300,637,675.74/27,112.86
  6. Step 6: Final answer
    x = 11,088.38

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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.