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Finding the Fourth Proportional to 7,186.62, 10,779.68 and 1,776.99

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Solution

The fourth proportional to 7,186.62, 10,779.68 and 1,776.99 is: 2,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.62 : 10,779.68 = 1,776.99 : x
  2. Step 2: Convert to fraction form
    7,186.62/10,779.68 = 1,776.99/x
  3. Step 3: Cross multiply
    7,186.62x = 10,779.68 × 1,776.99
  4. Step 4: Simplify right side
    7,186.62x = 19,155,367.79
  5. Step 5: Solve for x
    x = 19,155,367.79/7,186.62
  6. Step 6: Final answer
    x = 2,665.42

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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.