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Finding the Fourth Proportional to 10,523.83, 14,522.83 and 5,808.40

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Solution

The fourth proportional to 10,523.83, 14,522.83 and 5,808.40 is: 8,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.83 : 14,522.83 = 5,808.40 : x
  2. Step 2: Convert to fraction form
    10,523.83/14,522.83 = 5,808.40/x
  3. Step 3: Cross multiply
    10,523.83x = 14,522.83 × 5,808.40
  4. Step 4: Simplify right side
    10,523.83x = 84,354,405.77
  5. Step 5: Solve for x
    x = 84,354,405.77/10,523.83
  6. Step 6: Final answer
    x = 8,015.56

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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.