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Finding the Fourth Proportional to 11,857.94, 17,797.14 and 6,598.21

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Solution

The fourth proportional to 11,857.94, 17,797.14 and 6,598.21 is: 9,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.94 : 17,797.14 = 6,598.21 : x
  2. Step 2: Convert to fraction form
    11,857.94/17,797.14 = 6,598.21/x
  3. Step 3: Cross multiply
    11,857.94x = 17,797.14 × 6,598.21
  4. Step 4: Simplify right side
    11,857.94x = 117,429,222.63
  5. Step 5: Solve for x
    x = 117,429,222.63/11,857.94
  6. Step 6: Final answer
    x = 9,903.00

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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.