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Finding the Fourth Proportional to 7,389.49, 10,202.94 and 5,289.97

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Solution

The fourth proportional to 7,389.49, 10,202.94 and 5,289.97 is: 7,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.49 : 10,202.94 = 5,289.97 : x
  2. Step 2: Convert to fraction form
    7,389.49/10,202.94 = 5,289.97/x
  3. Step 3: Cross multiply
    7,389.49x = 10,202.94 × 5,289.97
  4. Step 4: Simplify right side
    7,389.49x = 53,973,246.51
  5. Step 5: Solve for x
    x = 53,973,246.51/7,389.49
  6. Step 6: Final answer
    x = 7,304.06

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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.