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Finding the Fourth Proportional to 10,523.60, 14,522.74 and 5,807.92

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Solution

The fourth proportional to 10,523.60, 14,522.74 and 5,807.92 is: 8,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.60 : 14,522.74 = 5,807.92 : x
  2. Step 2: Convert to fraction form
    10,523.60/14,522.74 = 5,807.92/x
  3. Step 3: Cross multiply
    10,523.60x = 14,522.74 × 5,807.92
  4. Step 4: Simplify right side
    10,523.60x = 84,346,912.10
  5. Step 5: Solve for x
    x = 84,346,912.10/10,523.60
  6. Step 6: Final answer
    x = 8,015.02

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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.