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Finding the Fourth Proportional to 7,522.81, 10,381.49 and 4,119.81

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Solution

The fourth proportional to 7,522.81, 10,381.49 and 4,119.81 is: 5,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.81 : 10,381.49 = 4,119.81 : x
  2. Step 2: Convert to fraction form
    7,522.81/10,381.49 = 4,119.81/x
  3. Step 3: Cross multiply
    7,522.81x = 10,381.49 × 4,119.81
  4. Step 4: Simplify right side
    7,522.81x = 42,769,693.81
  5. Step 5: Solve for x
    x = 42,769,693.81/7,522.81
  6. Step 6: Final answer
    x = 5,685.33

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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.