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Finding the Fourth Proportional to 10,523.66, 14,522.70 and 5,808.25

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Solution

The fourth proportional to 10,523.66, 14,522.70 and 5,808.25 is: 8,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.66 : 14,522.70 = 5,808.25 : x
  2. Step 2: Convert to fraction form
    10,523.66/14,522.70 = 5,808.25/x
  3. Step 3: Cross multiply
    10,523.66x = 14,522.70 × 5,808.25
  4. Step 4: Simplify right side
    10,523.66x = 84,351,399.66
  5. Step 5: Solve for x
    x = 84,351,399.66/10,523.66
  6. Step 6: Final answer
    x = 8,015.41

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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.