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Finding the Fourth Proportional to 11,765.95, 17,645.01 and 4,744.15

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Solution

The fourth proportional to 11,765.95, 17,645.01 and 4,744.15 is: 7,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.95 : 17,645.01 = 4,744.15 : x
  2. Step 2: Convert to fraction form
    11,765.95/17,645.01 = 4,744.15/x
  3. Step 3: Cross multiply
    11,765.95x = 17,645.01 × 4,744.15
  4. Step 4: Simplify right side
    11,765.95x = 83,710,605.14
  5. Step 5: Solve for x
    x = 83,710,605.14/11,765.95
  6. Step 6: Final answer
    x = 7,114.65

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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.