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Finding the Fourth Proportional to 10,405.73, 15,594.82 and 5,465.27

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Solution

The fourth proportional to 10,405.73, 15,594.82 and 5,465.27 is: 8,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.73 : 15,594.82 = 5,465.27 : x
  2. Step 2: Convert to fraction form
    10,405.73/15,594.82 = 5,465.27/x
  3. Step 3: Cross multiply
    10,405.73x = 15,594.82 × 5,465.27
  4. Step 4: Simplify right side
    10,405.73x = 85,229,901.90
  5. Step 5: Solve for x
    x = 85,229,901.90/10,405.73
  6. Step 6: Final answer
    x = 8,190.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.