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Finding the Fourth Proportional to 10,464.42, 14,441.04 and 5,748.78

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Solution

The fourth proportional to 10,464.42, 14,441.04 and 5,748.78 is: 7,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.42 : 14,441.04 = 5,748.78 : x
  2. Step 2: Convert to fraction form
    10,464.42/14,441.04 = 5,748.78/x
  3. Step 3: Cross multiply
    10,464.42x = 14,441.04 × 5,748.78
  4. Step 4: Simplify right side
    10,464.42x = 83,018,361.93
  5. Step 5: Solve for x
    x = 83,018,361.93/10,464.42
  6. Step 6: Final answer
    x = 7,933.39

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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.