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Finding the Fourth Proportional to 8,802.78, 13,202.16 and 2,562.84

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Solution

The fourth proportional to 8,802.78, 13,202.16 and 2,562.84 is: 3,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.78 : 13,202.16 = 2,562.84 : x
  2. Step 2: Convert to fraction form
    8,802.78/13,202.16 = 2,562.84/x
  3. Step 3: Cross multiply
    8,802.78x = 13,202.16 × 2,562.84
  4. Step 4: Simplify right side
    8,802.78x = 33,835,023.73
  5. Step 5: Solve for x
    x = 33,835,023.73/8,802.78
  6. Step 6: Final answer
    x = 3,843.67

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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.