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Finding the Fourth Proportional to 10,744.88, 14,829 and 7,215.44

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Solution

The fourth proportional to 10,744.88, 14,829 and 7,215.44 is: 9,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.88 : 14,829 = 7,215.44 : x
  2. Step 2: Convert to fraction form
    10,744.88/14,829 = 7,215.44/x
  3. Step 3: Cross multiply
    10,744.88x = 14,829 × 7,215.44
  4. Step 4: Simplify right side
    10,744.88x = 106,997,759.76
  5. Step 5: Solve for x
    x = 106,997,759.76/10,744.88
  6. Step 6: Final answer
    x = 9,958.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.