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Finding the Fourth Proportional to 11,815.13, 17,712.64 and 5,237.73

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Solution

The fourth proportional to 11,815.13, 17,712.64 and 5,237.73 is: 7,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.13 : 17,712.64 = 5,237.73 : x
  2. Step 2: Convert to fraction form
    11,815.13/17,712.64 = 5,237.73/x
  3. Step 3: Cross multiply
    11,815.13x = 17,712.64 × 5,237.73
  4. Step 4: Simplify right side
    11,815.13x = 92,774,025.91
  5. Step 5: Solve for x
    x = 92,774,025.91/11,815.13
  6. Step 6: Final answer
    x = 7,852.14

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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.