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Finding the Fourth Proportional to 26,777.08, 40,164 and 7,055.61

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Solution

The fourth proportional to 26,777.08, 40,164 and 7,055.61 is: 10,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,777.08 : 40,164 = 7,055.61 : x
  2. Step 2: Convert to fraction form
    26,777.08/40,164 = 7,055.61/x
  3. Step 3: Cross multiply
    26,777.08x = 40,164 × 7,055.61
  4. Step 4: Simplify right side
    26,777.08x = 283,381,520.04
  5. Step 5: Solve for x
    x = 283,381,520.04/26,777.08
  6. Step 6: Final answer
    x = 10,582.99

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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.