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Finding the Fourth Proportional to 7,684.74, 11,525.85 and 2,753.46

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Solution

The fourth proportional to 7,684.74, 11,525.85 and 2,753.46 is: 4,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.74 : 11,525.85 = 2,753.46 : x
  2. Step 2: Convert to fraction form
    7,684.74/11,525.85 = 2,753.46/x
  3. Step 3: Cross multiply
    7,684.74x = 11,525.85 × 2,753.46
  4. Step 4: Simplify right side
    7,684.74x = 31,735,966.94
  5. Step 5: Solve for x
    x = 31,735,966.94/7,684.74
  6. Step 6: Final answer
    x = 4,129.74

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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.