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Finding the Fourth Proportional to 10,523.97, 14,522.81 and 5,808.15

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Solution

The fourth proportional to 10,523.97, 14,522.81 and 5,808.15 is: 8,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.97 : 14,522.81 = 5,808.15 : x
  2. Step 2: Convert to fraction form
    10,523.97/14,522.81 = 5,808.15/x
  3. Step 3: Cross multiply
    10,523.97x = 14,522.81 × 5,808.15
  4. Step 4: Simplify right side
    10,523.97x = 84,350,629.86
  5. Step 5: Solve for x
    x = 84,350,629.86/10,523.97
  6. Step 6: Final answer
    x = 8,015.10

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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.