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Finding the Fourth Proportional to 10,201.16, 15,298.16 and 3,180.29

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Solution

The fourth proportional to 10,201.16, 15,298.16 and 3,180.29 is: 4,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.16 : 15,298.16 = 3,180.29 : x
  2. Step 2: Convert to fraction form
    10,201.16/15,298.16 = 3,180.29/x
  3. Step 3: Cross multiply
    10,201.16x = 15,298.16 × 3,180.29
  4. Step 4: Simplify right side
    10,201.16x = 48,652,492.87
  5. Step 5: Solve for x
    x = 48,652,492.87/10,201.16
  6. Step 6: Final answer
    x = 4,769.31

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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.