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Finding the Fourth Proportional to 7,684.53, 11,526.75 and 2,419.98

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Solution

The fourth proportional to 7,684.53, 11,526.75 and 2,419.98 is: 3,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.53 : 11,526.75 = 2,419.98 : x
  2. Step 2: Convert to fraction form
    7,684.53/11,526.75 = 2,419.98/x
  3. Step 3: Cross multiply
    7,684.53x = 11,526.75 × 2,419.98
  4. Step 4: Simplify right side
    7,684.53x = 27,894,556.77
  5. Step 5: Solve for x
    x = 27,894,556.77/7,684.53
  6. Step 6: Final answer
    x = 3,629.96

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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.