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Finding the Fourth Proportional to 26,782.11, 40,175.06 and 7,060.50

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Solution

The fourth proportional to 26,782.11, 40,175.06 and 7,060.50 is: 10,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.11 : 40,175.06 = 7,060.50 : x
  2. Step 2: Convert to fraction form
    26,782.11/40,175.06 = 7,060.50/x
  3. Step 3: Cross multiply
    26,782.11x = 40,175.06 × 7,060.50
  4. Step 4: Simplify right side
    26,782.11x = 283,655,975.83
  5. Step 5: Solve for x
    x = 283,655,975.83/26,782.11
  6. Step 6: Final answer
    x = 10,591.25

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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.