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Finding the Fourth Proportional to 7,365.29, 10,164.09 and 4,221.47

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Solution

The fourth proportional to 7,365.29, 10,164.09 and 4,221.47 is: 5,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.29 : 10,164.09 = 4,221.47 : x
  2. Step 2: Convert to fraction form
    7,365.29/10,164.09 = 4,221.47/x
  3. Step 3: Cross multiply
    7,365.29x = 10,164.09 × 4,221.47
  4. Step 4: Simplify right side
    7,365.29x = 42,907,350.19
  5. Step 5: Solve for x
    x = 42,907,350.19/7,365.29
  6. Step 6: Final answer
    x = 5,825.62

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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.