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Finding the Fourth Proportional to 7,855.46, 11,783.16 and 2,012.06

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Solution

The fourth proportional to 7,855.46, 11,783.16 and 2,012.06 is: 3,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.46 : 11,783.16 = 2,012.06 : x
  2. Step 2: Convert to fraction form
    7,855.46/11,783.16 = 2,012.06/x
  3. Step 3: Cross multiply
    7,855.46x = 11,783.16 × 2,012.06
  4. Step 4: Simplify right side
    7,855.46x = 23,708,424.91
  5. Step 5: Solve for x
    x = 23,708,424.91/7,855.46
  6. Step 6: Final answer
    x = 3,018.08

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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.