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Finding the Fourth Proportional to 10,228.63, 15,336.75 and 6,673.41

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Solution

The fourth proportional to 10,228.63, 15,336.75 and 6,673.41 is: 10,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.63 : 15,336.75 = 6,673.41 : x
  2. Step 2: Convert to fraction form
    10,228.63/15,336.75 = 6,673.41/x
  3. Step 3: Cross multiply
    10,228.63x = 15,336.75 × 6,673.41
  4. Step 4: Simplify right side
    10,228.63x = 102,348,420.82
  5. Step 5: Solve for x
    x = 102,348,420.82/10,228.63
  6. Step 6: Final answer
    x = 10,006.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.