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Finding the Fourth Proportional to 11,852.14, 17,762.82 and 4,823.96

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Solution

The fourth proportional to 11,852.14, 17,762.82 and 4,823.96 is: 7,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.14 : 17,762.82 = 4,823.96 : x
  2. Step 2: Convert to fraction form
    11,852.14/17,762.82 = 4,823.96/x
  3. Step 3: Cross multiply
    11,852.14x = 17,762.82 × 4,823.96
  4. Step 4: Simplify right side
    11,852.14x = 85,687,133.17
  5. Step 5: Solve for x
    x = 85,687,133.17/11,852.14
  6. Step 6: Final answer
    x = 7,229.68

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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.