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Finding the Fourth Proportional to 10,971.36, 16,457.04 and 3,180.17

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Solution

The fourth proportional to 10,971.36, 16,457.04 and 3,180.17 is: 4,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.36 : 16,457.04 = 3,180.17 : x
  2. Step 2: Convert to fraction form
    10,971.36/16,457.04 = 3,180.17/x
  3. Step 3: Cross multiply
    10,971.36x = 16,457.04 × 3,180.17
  4. Step 4: Simplify right side
    10,971.36x = 52,336,226.04
  5. Step 5: Solve for x
    x = 52,336,226.04/10,971.36
  6. Step 6: Final answer
    x = 4,770.26

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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.