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Finding the Fourth Proportional to 10,464.63, 14,441.19 and 5,749.21

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Solution

The fourth proportional to 10,464.63, 14,441.19 and 5,749.21 is: 7,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.63 : 14,441.19 = 5,749.21 : x
  2. Step 2: Convert to fraction form
    10,464.63/14,441.19 = 5,749.21/x
  3. Step 3: Cross multiply
    10,464.63x = 14,441.19 × 5,749.21
  4. Step 4: Simplify right side
    10,464.63x = 83,025,423.18
  5. Step 5: Solve for x
    x = 83,025,423.18/10,464.63
  6. Step 6: Final answer
    x = 7,933.91

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