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Finding the Fourth Proportional to 7,857.68, 11,785.06 and 3,177.50

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Solution

The fourth proportional to 7,857.68, 11,785.06 and 3,177.50 is: 4,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.68 : 11,785.06 = 3,177.50 : x
  2. Step 2: Convert to fraction form
    7,857.68/11,785.06 = 3,177.50/x
  3. Step 3: Cross multiply
    7,857.68x = 11,785.06 × 3,177.50
  4. Step 4: Simplify right side
    7,857.68x = 37,447,028.15
  5. Step 5: Solve for x
    x = 37,447,028.15/7,857.68
  6. Step 6: Final answer
    x = 4,765.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.