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Finding the Fourth Proportional to 10,128.92, 15,193.28 and 3,203.42

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Solution

The fourth proportional to 10,128.92, 15,193.28 and 3,203.42 is: 4,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.92 : 15,193.28 = 3,203.42 : x
  2. Step 2: Convert to fraction form
    10,128.92/15,193.28 = 3,203.42/x
  3. Step 3: Cross multiply
    10,128.92x = 15,193.28 × 3,203.42
  4. Step 4: Simplify right side
    10,128.92x = 48,670,457.02
  5. Step 5: Solve for x
    x = 48,670,457.02/10,128.92
  6. Step 6: Final answer
    x = 4,805.10

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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.