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Finding the Fourth Proportional to 8,564.63, 12,852.34 and 3,370.37

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Solution

The fourth proportional to 8,564.63, 12,852.34 and 3,370.37 is: 5,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.63 : 12,852.34 = 3,370.37 : x
  2. Step 2: Convert to fraction form
    8,564.63/12,852.34 = 3,370.37/x
  3. Step 3: Cross multiply
    8,564.63x = 12,852.34 × 3,370.37
  4. Step 4: Simplify right side
    8,564.63x = 43,317,068.48
  5. Step 5: Solve for x
    x = 43,317,068.48/8,564.63
  6. Step 6: Final answer
    x = 5,057.67

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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.