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Finding the Fourth Proportional to 7,458.89, 10,297.80 and 4,943.16

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Solution

The fourth proportional to 7,458.89, 10,297.80 and 4,943.16 is: 6,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.89 : 10,297.80 = 4,943.16 : x
  2. Step 2: Convert to fraction form
    7,458.89/10,297.80 = 4,943.16/x
  3. Step 3: Cross multiply
    7,458.89x = 10,297.80 × 4,943.16
  4. Step 4: Simplify right side
    7,458.89x = 50,903,673.05
  5. Step 5: Solve for x
    x = 50,903,673.05/7,458.89
  6. Step 6: Final answer
    x = 6,824.57

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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.