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Finding the Fourth Proportional to 8,466.72, 11,683.20 and 4,740

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Solution

The fourth proportional to 8,466.72, 11,683.20 and 4,740 is: 6,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.72 : 11,683.20 = 4,740 : x
  2. Step 2: Convert to fraction form
    8,466.72/11,683.20 = 4,740/x
  3. Step 3: Cross multiply
    8,466.72x = 11,683.20 × 4,740
  4. Step 4: Simplify right side
    8,466.72x = 55,378,368
  5. Step 5: Solve for x
    x = 55,378,368/8,466.72
  6. Step 6: Final answer
    x = 6,540.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.