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Finding the Fourth Proportional to 8,466.48, 11,684.44 and 4,930

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Solution

The fourth proportional to 8,466.48, 11,684.44 and 4,930 is: 6,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.48 : 11,684.44 = 4,930 : x
  2. Step 2: Convert to fraction form
    8,466.48/11,684.44 = 4,930/x
  3. Step 3: Cross multiply
    8,466.48x = 11,684.44 × 4,930
  4. Step 4: Simplify right side
    8,466.48x = 57,604,289.20
  5. Step 5: Solve for x
    x = 57,604,289.20/8,466.48
  6. Step 6: Final answer
    x = 6,803.81

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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.