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Finding the Fourth Proportional to 8,220.53, 11,342.77 and 4,683.67

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Solution

The fourth proportional to 8,220.53, 11,342.77 and 4,683.67 is: 6,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.53 : 11,342.77 = 4,683.67 : x
  2. Step 2: Convert to fraction form
    8,220.53/11,342.77 = 4,683.67/x
  3. Step 3: Cross multiply
    8,220.53x = 11,342.77 × 4,683.67
  4. Step 4: Simplify right side
    8,220.53x = 53,125,751.50
  5. Step 5: Solve for x
    x = 53,125,751.50/8,220.53
  6. Step 6: Final answer
    x = 6,462.57

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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.