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Finding the Fourth Proportional to 7,752.49, 11,629.14 and 2,558.77

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Solution

The fourth proportional to 7,752.49, 11,629.14 and 2,558.77 is: 3,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.49 : 11,629.14 = 2,558.77 : x
  2. Step 2: Convert to fraction form
    7,752.49/11,629.14 = 2,558.77/x
  3. Step 3: Cross multiply
    7,752.49x = 11,629.14 × 2,558.77
  4. Step 4: Simplify right side
    7,752.49x = 29,756,294.56
  5. Step 5: Solve for x
    x = 29,756,294.56/7,752.49
  6. Step 6: Final answer
    x = 3,838.29

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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.