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Finding the Fourth Proportional to 11,362.82, 15,685.53 and 7,638.98

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Solution

The fourth proportional to 11,362.82, 15,685.53 and 7,638.98 is: 10,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.82 : 15,685.53 = 7,638.98 : x
  2. Step 2: Convert to fraction form
    11,362.82/15,685.53 = 7,638.98/x
  3. Step 3: Cross multiply
    11,362.82x = 15,685.53 × 7,638.98
  4. Step 4: Simplify right side
    11,362.82x = 119,821,449.96
  5. Step 5: Solve for x
    x = 119,821,449.96/11,362.82
  6. Step 6: Final answer
    x = 10,545.05

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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.