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Finding the Fourth Proportional to 11,855.42, 17,783.12 and 10,484.90

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Solution

The fourth proportional to 11,855.42, 17,783.12 and 10,484.90 is: 15,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.42 : 17,783.12 = 10,484.90 : x
  2. Step 2: Convert to fraction form
    11,855.42/17,783.12 = 10,484.90/x
  3. Step 3: Cross multiply
    11,855.42x = 17,783.12 × 10,484.90
  4. Step 4: Simplify right side
    11,855.42x = 186,454,234.89
  5. Step 5: Solve for x
    x = 186,454,234.89/11,855.42
  6. Step 6: Final answer
    x = 15,727.34

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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.