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Finding the Fourth Proportional to 7,677.95, 11,517.93 and 2,746.94

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Solution

The fourth proportional to 7,677.95, 11,517.93 and 2,746.94 is: 4,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.95 : 11,517.93 = 2,746.94 : x
  2. Step 2: Convert to fraction form
    7,677.95/11,517.93 = 2,746.94/x
  3. Step 3: Cross multiply
    7,677.95x = 11,517.93 × 2,746.94
  4. Step 4: Simplify right side
    7,677.95x = 31,639,005.04
  5. Step 5: Solve for x
    x = 31,639,005.04/7,677.95
  6. Step 6: Final answer
    x = 4,120.76

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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.