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Finding the Fourth Proportional to 12,383.57, 17,089.26 and 6,718.43

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Solution

The fourth proportional to 12,383.57, 17,089.26 and 6,718.43 is: 9,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.57 : 17,089.26 = 6,718.43 : x
  2. Step 2: Convert to fraction form
    12,383.57/17,089.26 = 6,718.43/x
  3. Step 3: Cross multiply
    12,383.57x = 17,089.26 × 6,718.43
  4. Step 4: Simplify right side
    12,383.57x = 114,812,997.06
  5. Step 5: Solve for x
    x = 114,812,997.06/12,383.57
  6. Step 6: Final answer
    x = 9,271.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.