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Finding the Fourth Proportional to 7,394.81, 10,202.41 and 5,270.68

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Solution

The fourth proportional to 7,394.81, 10,202.41 and 5,270.68 is: 7,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.81 : 10,202.41 = 5,270.68 : x
  2. Step 2: Convert to fraction form
    7,394.81/10,202.41 = 5,270.68/x
  3. Step 3: Cross multiply
    7,394.81x = 10,202.41 × 5,270.68
  4. Step 4: Simplify right side
    7,394.81x = 53,773,638.34
  5. Step 5: Solve for x
    x = 53,773,638.34/7,394.81
  6. Step 6: Final answer
    x = 7,271.81

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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.