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Finding the Fourth Proportional to 26,527.97, 39,794.45 and 7,808.01

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Solution

The fourth proportional to 26,527.97, 39,794.45 and 7,808.01 is: 11,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,527.97 : 39,794.45 = 7,808.01 : x
  2. Step 2: Convert to fraction form
    26,527.97/39,794.45 = 7,808.01/x
  3. Step 3: Cross multiply
    26,527.97x = 39,794.45 × 7,808.01
  4. Step 4: Simplify right side
    26,527.97x = 310,715,424.50
  5. Step 5: Solve for x
    x = 310,715,424.50/26,527.97
  6. Step 6: Final answer
    x = 11,712.75

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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.