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Finding the Fourth Proportional to 7,902.27, 11,855.10 and 2,356.05

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Solution

The fourth proportional to 7,902.27, 11,855.10 and 2,356.05 is: 3,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.27 : 11,855.10 = 2,356.05 : x
  2. Step 2: Convert to fraction form
    7,902.27/11,855.10 = 2,356.05/x
  3. Step 3: Cross multiply
    7,902.27x = 11,855.10 × 2,356.05
  4. Step 4: Simplify right side
    7,902.27x = 27,931,208.36
  5. Step 5: Solve for x
    x = 27,931,208.36/7,902.27
  6. Step 6: Final answer
    x = 3,534.58

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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.