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Finding the Fourth Proportional to 10,370.32, 15,559.32 and 4,826.64

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Solution

The fourth proportional to 10,370.32, 15,559.32 and 4,826.64 is: 7,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.32 : 15,559.32 = 4,826.64 : x
  2. Step 2: Convert to fraction form
    10,370.32/15,559.32 = 4,826.64/x
  3. Step 3: Cross multiply
    10,370.32x = 15,559.32 × 4,826.64
  4. Step 4: Simplify right side
    10,370.32x = 75,099,236.28
  5. Step 5: Solve for x
    x = 75,099,236.28/10,370.32
  6. Step 6: Final answer
    x = 7,241.75

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Why These Related Problems?

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