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Finding the Fourth Proportional to 13,428.78, 18,530.82 and 7,763.10

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Solution

The fourth proportional to 13,428.78, 18,530.82 and 7,763.10 is: 10,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.78 : 18,530.82 = 7,763.10 : x
  2. Step 2: Convert to fraction form
    13,428.78/18,530.82 = 7,763.10/x
  3. Step 3: Cross multiply
    13,428.78x = 18,530.82 × 7,763.10
  4. Step 4: Simplify right side
    13,428.78x = 143,856,608.74
  5. Step 5: Solve for x
    x = 143,856,608.74/13,428.78
  6. Step 6: Final answer
    x = 10,712.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.