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Finding the Fourth Proportional to 7,683.68, 11,525.76 and 2,753.12

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Solution

The fourth proportional to 7,683.68, 11,525.76 and 2,753.12 is: 4,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.68 : 11,525.76 = 2,753.12 : x
  2. Step 2: Convert to fraction form
    7,683.68/11,525.76 = 2,753.12/x
  3. Step 3: Cross multiply
    7,683.68x = 11,525.76 × 2,753.12
  4. Step 4: Simplify right side
    7,683.68x = 31,731,800.37
  5. Step 5: Solve for x
    x = 31,731,800.37/7,683.68
  6. Step 6: Final answer
    x = 4,129.77

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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.