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Finding the Fourth Proportional to 10,744, 14,821.68 and 7,601.92

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Solution

The fourth proportional to 10,744, 14,821.68 and 7,601.92 is: 10,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744 : 14,821.68 = 7,601.92 : x
  2. Step 2: Convert to fraction form
    10,744/14,821.68 = 7,601.92/x
  3. Step 3: Cross multiply
    10,744x = 14,821.68 × 7,601.92
  4. Step 4: Simplify right side
    10,744x = 112,673,225.63
  5. Step 5: Solve for x
    x = 112,673,225.63/10,744
  6. Step 6: Final answer
    x = 10,487.08

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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.