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Finding the Fourth Proportional to 26,536.66, 39,798.61 and 7,811.61

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Solution

The fourth proportional to 26,536.66, 39,798.61 and 7,811.61 is: 11,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.66 : 39,798.61 = 7,811.61 : x
  2. Step 2: Convert to fraction form
    26,536.66/39,798.61 = 7,811.61/x
  3. Step 3: Cross multiply
    26,536.66x = 39,798.61 × 7,811.61
  4. Step 4: Simplify right side
    26,536.66x = 310,891,051.09
  5. Step 5: Solve for x
    x = 310,891,051.09/26,536.66
  6. Step 6: Final answer
    x = 11,715.53

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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.