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Finding the Fourth Proportional to 7,713.82, 11,567.93 and 2,782.13

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Solution

The fourth proportional to 7,713.82, 11,567.93 and 2,782.13 is: 4,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.82 : 11,567.93 = 2,782.13 : x
  2. Step 2: Convert to fraction form
    7,713.82/11,567.93 = 2,782.13/x
  3. Step 3: Cross multiply
    7,713.82x = 11,567.93 × 2,782.13
  4. Step 4: Simplify right side
    7,713.82x = 32,183,492.05
  5. Step 5: Solve for x
    x = 32,183,492.05/7,713.82
  6. Step 6: Final answer
    x = 4,172.19

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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.