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Finding the Fourth Proportional to 7,677.80, 11,516.70 and 7,021.70

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Solution

The fourth proportional to 7,677.80, 11,516.70 and 7,021.70 is: 10,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.80 : 11,516.70 = 7,021.70 : x
  2. Step 2: Convert to fraction form
    7,677.80/11,516.70 = 7,021.70/x
  3. Step 3: Cross multiply
    7,677.80x = 11,516.70 × 7,021.70
  4. Step 4: Simplify right side
    7,677.80x = 80,866,812.39
  5. Step 5: Solve for x
    x = 80,866,812.39/7,677.80
  6. Step 6: Final answer
    x = 10,532.55

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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.