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Finding the Fourth Proportional to 11,763.77, 17,647.91 and 4,744.49

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Solution

The fourth proportional to 11,763.77, 17,647.91 and 4,744.49 is: 7,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.77 : 17,647.91 = 4,744.49 : x
  2. Step 2: Convert to fraction form
    11,763.77/17,647.91 = 4,744.49/x
  3. Step 3: Cross multiply
    11,763.77x = 17,647.91 × 4,744.49
  4. Step 4: Simplify right side
    11,763.77x = 83,730,388.50
  5. Step 5: Solve for x
    x = 83,730,388.50/11,763.77
  6. Step 6: Final answer
    x = 7,117.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.