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Finding the Fourth Proportional to 10,441.32, 14,410.43 and 6,410.53

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Solution

The fourth proportional to 10,441.32, 14,410.43 and 6,410.53 is: 8,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.32 : 14,410.43 = 6,410.53 : x
  2. Step 2: Convert to fraction form
    10,441.32/14,410.43 = 6,410.53/x
  3. Step 3: Cross multiply
    10,441.32x = 14,410.43 × 6,410.53
  4. Step 4: Simplify right side
    10,441.32x = 92,378,493.83
  5. Step 5: Solve for x
    x = 92,378,493.83/10,441.32
  6. Step 6: Final answer
    x = 8,847.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.