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Finding the Fourth Proportional to 8,353, 11,527.14 and 5,041

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Solution

The fourth proportional to 8,353, 11,527.14 and 5,041 is: 6,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353 : 11,527.14 = 5,041 : x
  2. Step 2: Convert to fraction form
    8,353/11,527.14 = 5,041/x
  3. Step 3: Cross multiply
    8,353x = 11,527.14 × 5,041
  4. Step 4: Simplify right side
    8,353x = 58,108,312.74
  5. Step 5: Solve for x
    x = 58,108,312.74/8,353
  6. Step 6: Final answer
    x = 6,956.58

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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.