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Finding the Fourth Proportional to 10,467.96, 14,446.08 and 5,752.56

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Solution

The fourth proportional to 10,467.96, 14,446.08 and 5,752.56 is: 7,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.96 : 14,446.08 = 5,752.56 : x
  2. Step 2: Convert to fraction form
    10,467.96/14,446.08 = 5,752.56/x
  3. Step 3: Cross multiply
    10,467.96x = 14,446.08 × 5,752.56
  4. Step 4: Simplify right side
    10,467.96x = 83,101,941.96
  5. Step 5: Solve for x
    x = 83,101,941.96/10,467.96
  6. Step 6: Final answer
    x = 7,938.70

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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.