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Finding the Fourth Proportional to 7,752.52, 11,629.02 and 2,558.76

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Solution

The fourth proportional to 7,752.52, 11,629.02 and 2,558.76 is: 3,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.52 : 11,629.02 = 2,558.76 : x
  2. Step 2: Convert to fraction form
    7,752.52/11,629.02 = 2,558.76/x
  3. Step 3: Cross multiply
    7,752.52x = 11,629.02 × 2,558.76
  4. Step 4: Simplify right side
    7,752.52x = 29,755,871.22
  5. Step 5: Solve for x
    x = 29,755,871.22/7,752.52
  6. Step 6: Final answer
    x = 3,838.22

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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.