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Finding the Fourth Proportional to 7,586.88, 11,379.52 and 2,392.80

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Solution

The fourth proportional to 7,586.88, 11,379.52 and 2,392.80 is: 3,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.88 : 11,379.52 = 2,392.80 : x
  2. Step 2: Convert to fraction form
    7,586.88/11,379.52 = 2,392.80/x
  3. Step 3: Cross multiply
    7,586.88x = 11,379.52 × 2,392.80
  4. Step 4: Simplify right side
    7,586.88x = 27,228,915.46
  5. Step 5: Solve for x
    x = 27,228,915.46/7,586.88
  6. Step 6: Final answer
    x = 3,588.95

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