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Finding the Fourth Proportional to 7,857.02, 11,785.94 and 2,013.68

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Solution

The fourth proportional to 7,857.02, 11,785.94 and 2,013.68 is: 3,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.02 : 11,785.94 = 2,013.68 : x
  2. Step 2: Convert to fraction form
    7,857.02/11,785.94 = 2,013.68/x
  3. Step 3: Cross multiply
    7,857.02x = 11,785.94 × 2,013.68
  4. Step 4: Simplify right side
    7,857.02x = 23,733,111.66
  5. Step 5: Solve for x
    x = 23,733,111.66/7,857.02
  6. Step 6: Final answer
    x = 3,020.63

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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.