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Finding the Fourth Proportional to 10,594.82, 14,620.19 and 5,814.52

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Solution

The fourth proportional to 10,594.82, 14,620.19 and 5,814.52 is: 8,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.82 : 14,620.19 = 5,814.52 : x
  2. Step 2: Convert to fraction form
    10,594.82/14,620.19 = 5,814.52/x
  3. Step 3: Cross multiply
    10,594.82x = 14,620.19 × 5,814.52
  4. Step 4: Simplify right side
    10,594.82x = 85,009,321.54
  5. Step 5: Solve for x
    x = 85,009,321.54/10,594.82
  6. Step 6: Final answer
    x = 8,023.67

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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.