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Finding the Fourth Proportional to 7,857.81, 11,786.51 and 1,934.69

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Solution

The fourth proportional to 7,857.81, 11,786.51 and 1,934.69 is: 2,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.81 : 11,786.51 = 1,934.69 : x
  2. Step 2: Convert to fraction form
    7,857.81/11,786.51 = 1,934.69/x
  3. Step 3: Cross multiply
    7,857.81x = 11,786.51 × 1,934.69
  4. Step 4: Simplify right side
    7,857.81x = 22,803,188.94
  5. Step 5: Solve for x
    x = 22,803,188.94/7,857.81
  6. Step 6: Final answer
    x = 2,901.98

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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.