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Finding the Fourth Proportional to 7,782.14, 11,673.19 and 1,938.76

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Solution

The fourth proportional to 7,782.14, 11,673.19 and 1,938.76 is: 2,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.14 : 11,673.19 = 1,938.76 : x
  2. Step 2: Convert to fraction form
    7,782.14/11,673.19 = 1,938.76/x
  3. Step 3: Cross multiply
    7,782.14x = 11,673.19 × 1,938.76
  4. Step 4: Simplify right side
    7,782.14x = 22,631,513.84
  5. Step 5: Solve for x
    x = 22,631,513.84/7,782.14
  6. Step 6: Final answer
    x = 2,908.14

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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.