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Finding the Fourth Proportional to 7,284.47, 10,049.63 and 4,216.31

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Solution

The fourth proportional to 7,284.47, 10,049.63 and 4,216.31 is: 5,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.47 : 10,049.63 = 4,216.31 : x
  2. Step 2: Convert to fraction form
    7,284.47/10,049.63 = 4,216.31/x
  3. Step 3: Cross multiply
    7,284.47x = 10,049.63 × 4,216.31
  4. Step 4: Simplify right side
    7,284.47x = 42,372,305.22
  5. Step 5: Solve for x
    x = 42,372,305.22/7,284.47
  6. Step 6: Final answer
    x = 5,816.80

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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.