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Finding the Fourth Proportional to 7,677.68, 11,513.70 and 2,745.98

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Solution

The fourth proportional to 7,677.68, 11,513.70 and 2,745.98 is: 4,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.68 : 11,513.70 = 2,745.98 : x
  2. Step 2: Convert to fraction form
    7,677.68/11,513.70 = 2,745.98/x
  3. Step 3: Cross multiply
    7,677.68x = 11,513.70 × 2,745.98
  4. Step 4: Simplify right side
    7,677.68x = 31,616,389.93
  5. Step 5: Solve for x
    x = 31,616,389.93/7,677.68
  6. Step 6: Final answer
    x = 4,117.96

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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.