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Finding the Fourth Proportional to 10,405.94, 15,608.90 and 5,477.90

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Solution

The fourth proportional to 10,405.94, 15,608.90 and 5,477.90 is: 8,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.94 : 15,608.90 = 5,477.90 : x
  2. Step 2: Convert to fraction form
    10,405.94/15,608.90 = 5,477.90/x
  3. Step 3: Cross multiply
    10,405.94x = 15,608.90 × 5,477.90
  4. Step 4: Simplify right side
    10,405.94x = 85,503,928.96
  5. Step 5: Solve for x
    x = 85,503,928.96/10,405.94
  6. Step 6: Final answer
    x = 8,216.84

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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.