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Finding the Fourth Proportional to 10,299.95, 14,213.88 and 5,584.23

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Solution

The fourth proportional to 10,299.95, 14,213.88 and 5,584.23 is: 7,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.95 : 14,213.88 = 5,584.23 : x
  2. Step 2: Convert to fraction form
    10,299.95/14,213.88 = 5,584.23/x
  3. Step 3: Cross multiply
    10,299.95x = 14,213.88 × 5,584.23
  4. Step 4: Simplify right side
    10,299.95x = 79,373,575.11
  5. Step 5: Solve for x
    x = 79,373,575.11/10,299.95
  6. Step 6: Final answer
    x = 7,706.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.