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Finding the Fourth Proportional to 26,774.58, 40,163.82 and 7,053

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Solution

The fourth proportional to 26,774.58, 40,163.82 and 7,053 is: 10,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,774.58 : 40,163.82 = 7,053 : x
  2. Step 2: Convert to fraction form
    26,774.58/40,163.82 = 7,053/x
  3. Step 3: Cross multiply
    26,774.58x = 40,163.82 × 7,053
  4. Step 4: Simplify right side
    26,774.58x = 283,275,422.46
  5. Step 5: Solve for x
    x = 283,275,422.46/26,774.58
  6. Step 6: Final answer
    x = 10,580.01

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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.