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Finding the Fourth Proportional to 12,774.85, 19,163.08 and 4,010.11

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Solution

The fourth proportional to 12,774.85, 19,163.08 and 4,010.11 is: 6,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.85 : 19,163.08 = 4,010.11 : x
  2. Step 2: Convert to fraction form
    12,774.85/19,163.08 = 4,010.11/x
  3. Step 3: Cross multiply
    12,774.85x = 19,163.08 × 4,010.11
  4. Step 4: Simplify right side
    12,774.85x = 76,845,994.12
  5. Step 5: Solve for x
    x = 76,845,994.12/12,774.85
  6. Step 6: Final answer
    x = 6,015.41

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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.