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Finding the Fourth Proportional to 10,682.28, 15,986.51 and 7,381.28

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Solution

The fourth proportional to 10,682.28, 15,986.51 and 7,381.28 is: 11,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.28 : 15,986.51 = 7,381.28 : x
  2. Step 2: Convert to fraction form
    10,682.28/15,986.51 = 7,381.28/x
  3. Step 3: Cross multiply
    10,682.28x = 15,986.51 × 7,381.28
  4. Step 4: Simplify right side
    10,682.28x = 118,000,888.87
  5. Step 5: Solve for x
    x = 118,000,888.87/10,682.28
  6. Step 6: Final answer
    x = 11,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.