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Finding the Fourth Proportional to 6,860.69, 10,290.96 and 1,666.57

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Solution

The fourth proportional to 6,860.69, 10,290.96 and 1,666.57 is: 2,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.69 : 10,290.96 = 1,666.57 : x
  2. Step 2: Convert to fraction form
    6,860.69/10,290.96 = 1,666.57/x
  3. Step 3: Cross multiply
    6,860.69x = 10,290.96 × 1,666.57
  4. Step 4: Simplify right side
    6,860.69x = 17,150,605.21
  5. Step 5: Solve for x
    x = 17,150,605.21/6,860.69
  6. Step 6: Final answer
    x = 2,499.84

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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.