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Finding the Fourth Proportional to 7,402.06, 11,102.83 and 1,855.45

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Solution

The fourth proportional to 7,402.06, 11,102.83 and 1,855.45 is: 2,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.06 : 11,102.83 = 1,855.45 : x
  2. Step 2: Convert to fraction form
    7,402.06/11,102.83 = 1,855.45/x
  3. Step 3: Cross multiply
    7,402.06x = 11,102.83 × 1,855.45
  4. Step 4: Simplify right side
    7,402.06x = 20,600,755.16
  5. Step 5: Solve for x
    x = 20,600,755.16/7,402.06
  6. Step 6: Final answer
    x = 2,783.11

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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.