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Finding the Fourth Proportional to 7,374.87, 11,062.16 and 1,828.22

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Solution

The fourth proportional to 7,374.87, 11,062.16 and 1,828.22 is: 2,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.87 : 11,062.16 = 1,828.22 : x
  2. Step 2: Convert to fraction form
    7,374.87/11,062.16 = 1,828.22/x
  3. Step 3: Cross multiply
    7,374.87x = 11,062.16 × 1,828.22
  4. Step 4: Simplify right side
    7,374.87x = 20,224,062.16
  5. Step 5: Solve for x
    x = 20,224,062.16/7,374.87
  6. Step 6: Final answer
    x = 2,742.29

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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.