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Finding the Fourth Proportional to 7,497.28, 11,237.92 and 3,802.24

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Solution

The fourth proportional to 7,497.28, 11,237.92 and 3,802.24 is: 5,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.28 : 11,237.92 = 3,802.24 : x
  2. Step 2: Convert to fraction form
    7,497.28/11,237.92 = 3,802.24/x
  3. Step 3: Cross multiply
    7,497.28x = 11,237.92 × 3,802.24
  4. Step 4: Simplify right side
    7,497.28x = 42,729,268.94
  5. Step 5: Solve for x
    x = 42,729,268.94/7,497.28
  6. Step 6: Final answer
    x = 5,699.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.