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Finding the Fourth Proportional to 8,341.90, 11,512.15 and 4,564.85

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Solution

The fourth proportional to 8,341.90, 11,512.15 and 4,564.85 is: 6,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.90 : 11,512.15 = 4,564.85 : x
  2. Step 2: Convert to fraction form
    8,341.90/11,512.15 = 4,564.85/x
  3. Step 3: Cross multiply
    8,341.90x = 11,512.15 × 4,564.85
  4. Step 4: Simplify right side
    8,341.90x = 52,551,168.95
  5. Step 5: Solve for x
    x = 52,551,168.95/8,341.90
  6. Step 6: Final answer
    x = 6,299.67

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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.