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Finding the Fourth Proportional to 10,201.98, 15,271.17 and 7,855.89

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Solution

The fourth proportional to 10,201.98, 15,271.17 and 7,855.89 is: 11,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.98 : 15,271.17 = 7,855.89 : x
  2. Step 2: Convert to fraction form
    10,201.98/15,271.17 = 7,855.89/x
  3. Step 3: Cross multiply
    10,201.98x = 15,271.17 × 7,855.89
  4. Step 4: Simplify right side
    10,201.98x = 119,968,612.05
  5. Step 5: Solve for x
    x = 119,968,612.05/10,201.98
  6. Step 6: Final answer
    x = 11,759.35

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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.