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Finding the Fourth Proportional to 10,205.85, 15,284.07 and 5,195.07

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Solution

The fourth proportional to 10,205.85, 15,284.07 and 5,195.07 is: 7,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.85 : 15,284.07 = 5,195.07 : x
  2. Step 2: Convert to fraction form
    10,205.85/15,284.07 = 5,195.07/x
  3. Step 3: Cross multiply
    10,205.85x = 15,284.07 × 5,195.07
  4. Step 4: Simplify right side
    10,205.85x = 79,401,813.53
  5. Step 5: Solve for x
    x = 79,401,813.53/10,205.85
  6. Step 6: Final answer
    x = 7,780.03

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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.