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Finding the Fourth Proportional to 11,493.80, 15,863.15 and 7,020.12

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Solution

The fourth proportional to 11,493.80, 15,863.15 and 7,020.12 is: 9,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.80 : 15,863.15 = 7,020.12 : x
  2. Step 2: Convert to fraction form
    11,493.80/15,863.15 = 7,020.12/x
  3. Step 3: Cross multiply
    11,493.80x = 15,863.15 × 7,020.12
  4. Step 4: Simplify right side
    11,493.80x = 111,361,216.58
  5. Step 5: Solve for x
    x = 111,361,216.58/11,493.80
  6. Step 6: Final answer
    x = 9,688.81

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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.