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Finding the Fourth Proportional to 8,423.43, 11,624.43 and 4,646.60

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Solution

The fourth proportional to 8,423.43, 11,624.43 and 4,646.60 is: 6,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.43 : 11,624.43 = 4,646.60 : x
  2. Step 2: Convert to fraction form
    8,423.43/11,624.43 = 4,646.60/x
  3. Step 3: Cross multiply
    8,423.43x = 11,624.43 × 4,646.60
  4. Step 4: Simplify right side
    8,423.43x = 54,014,076.44
  5. Step 5: Solve for x
    x = 54,014,076.44/8,423.43
  6. Step 6: Final answer
    x = 6,412.36

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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.