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Finding the Fourth Proportional to 9,586.80, 14,361.05 and 7,615.76

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Solution

The fourth proportional to 9,586.80, 14,361.05 and 7,615.76 is: 11,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.80 : 14,361.05 = 7,615.76 : x
  2. Step 2: Convert to fraction form
    9,586.80/14,361.05 = 7,615.76/x
  3. Step 3: Cross multiply
    9,586.80x = 14,361.05 × 7,615.76
  4. Step 4: Simplify right side
    9,586.80x = 109,370,257.38
  5. Step 5: Solve for x
    x = 109,370,257.38/9,586.80
  6. Step 6: Final answer
    x = 11,408.42

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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.