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Finding the Fourth Proportional to 10,468.46, 14,446.16 and 5,752.73

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Solution

The fourth proportional to 10,468.46, 14,446.16 and 5,752.73 is: 7,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.46 : 14,446.16 = 5,752.73 : x
  2. Step 2: Convert to fraction form
    10,468.46/14,446.16 = 5,752.73/x
  3. Step 3: Cross multiply
    10,468.46x = 14,446.16 × 5,752.73
  4. Step 4: Simplify right side
    10,468.46x = 83,104,858.02
  5. Step 5: Solve for x
    x = 83,104,858.02/10,468.46
  6. Step 6: Final answer
    x = 7,938.59

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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.