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Finding the Fourth Proportional to 7,116.92, 10,675.34 and 2,436.97

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Solution

The fourth proportional to 7,116.92, 10,675.34 and 2,436.97 is: 3,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.92 : 10,675.34 = 2,436.97 : x
  2. Step 2: Convert to fraction form
    7,116.92/10,675.34 = 2,436.97/x
  3. Step 3: Cross multiply
    7,116.92x = 10,675.34 × 2,436.97
  4. Step 4: Simplify right side
    7,116.92x = 26,015,483.32
  5. Step 5: Solve for x
    x = 26,015,483.32/7,116.92
  6. Step 6: Final answer
    x = 3,655.44

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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.