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Finding the Fourth Proportional to 10,499.57, 14,489.16 and 6,023.05

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Solution

The fourth proportional to 10,499.57, 14,489.16 and 6,023.05 is: 8,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.57 : 14,489.16 = 6,023.05 : x
  2. Step 2: Convert to fraction form
    10,499.57/14,489.16 = 6,023.05/x
  3. Step 3: Cross multiply
    10,499.57x = 14,489.16 × 6,023.05
  4. Step 4: Simplify right side
    10,499.57x = 87,268,935.14
  5. Step 5: Solve for x
    x = 87,268,935.14/10,499.57
  6. Step 6: Final answer
    x = 8,311.67

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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.