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Finding the Fourth Proportional to 7,458.33, 10,281.60 and 5,213.22

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Solution

The fourth proportional to 7,458.33, 10,281.60 and 5,213.22 is: 7,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.33 : 10,281.60 = 5,213.22 : x
  2. Step 2: Convert to fraction form
    7,458.33/10,281.60 = 5,213.22/x
  3. Step 3: Cross multiply
    7,458.33x = 10,281.60 × 5,213.22
  4. Step 4: Simplify right side
    7,458.33x = 53,600,242.75
  5. Step 5: Solve for x
    x = 53,600,242.75/7,458.33
  6. Step 6: Final answer
    x = 7,186.63

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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.