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Finding the Fourth Proportional to 7,428.63, 11,142.99 and 3,046.53

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Solution

The fourth proportional to 7,428.63, 11,142.99 and 3,046.53 is: 4,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.63 : 11,142.99 = 3,046.53 : x
  2. Step 2: Convert to fraction form
    7,428.63/11,142.99 = 3,046.53/x
  3. Step 3: Cross multiply
    7,428.63x = 11,142.99 × 3,046.53
  4. Step 4: Simplify right side
    7,428.63x = 33,947,453.32
  5. Step 5: Solve for x
    x = 33,947,453.32/7,428.63
  6. Step 6: Final answer
    x = 4,569.81

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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.