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Finding the Fourth Proportional to 7,677.69, 11,516.40 and 2,130.41

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Solution

The fourth proportional to 7,677.69, 11,516.40 and 2,130.41 is: 3,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.69 : 11,516.40 = 2,130.41 : x
  2. Step 2: Convert to fraction form
    7,677.69/11,516.40 = 2,130.41/x
  3. Step 3: Cross multiply
    7,677.69x = 11,516.40 × 2,130.41
  4. Step 4: Simplify right side
    7,677.69x = 24,534,596.14
  5. Step 5: Solve for x
    x = 24,534,596.14/7,677.69
  6. Step 6: Final answer
    x = 3,195.57

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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.