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Finding the Fourth Proportional to 7,283.50, 10,052.40 and 4,141.60

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Solution

The fourth proportional to 7,283.50, 10,052.40 and 4,141.60 is: 5,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.50 : 10,052.40 = 4,141.60 : x
  2. Step 2: Convert to fraction form
    7,283.50/10,052.40 = 4,141.60/x
  3. Step 3: Cross multiply
    7,283.50x = 10,052.40 × 4,141.60
  4. Step 4: Simplify right side
    7,283.50x = 41,633,019.84
  5. Step 5: Solve for x
    x = 41,633,019.84/7,283.50
  6. Step 6: Final answer
    x = 5,716.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.