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Finding the Fourth Proportional to 7,022.68, 10,534.06 and 1,828.56

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Solution

The fourth proportional to 7,022.68, 10,534.06 and 1,828.56 is: 2,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.68 : 10,534.06 = 1,828.56 : x
  2. Step 2: Convert to fraction form
    7,022.68/10,534.06 = 1,828.56/x
  3. Step 3: Cross multiply
    7,022.68x = 10,534.06 × 1,828.56
  4. Step 4: Simplify right side
    7,022.68x = 19,262,160.75
  5. Step 5: Solve for x
    x = 19,262,160.75/7,022.68
  6. Step 6: Final answer
    x = 2,742.85

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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.