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Finding the Fourth Proportional to 10,955.14, 16,430.42 and 3,162.12

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Solution

The fourth proportional to 10,955.14, 16,430.42 and 3,162.12 is: 4,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.14 : 16,430.42 = 3,162.12 : x
  2. Step 2: Convert to fraction form
    10,955.14/16,430.42 = 3,162.12/x
  3. Step 3: Cross multiply
    10,955.14x = 16,430.42 × 3,162.12
  4. Step 4: Simplify right side
    10,955.14x = 51,954,959.69
  5. Step 5: Solve for x
    x = 51,954,959.69/10,955.14
  6. Step 6: Final answer
    x = 4,742.52

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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.