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Finding the Fourth Proportional to 12,983.89, 17,911.90 and 7,946.09

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Solution

The fourth proportional to 12,983.89, 17,911.90 and 7,946.09 is: 10,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.89 : 17,911.90 = 7,946.09 : x
  2. Step 2: Convert to fraction form
    12,983.89/17,911.90 = 7,946.09/x
  3. Step 3: Cross multiply
    12,983.89x = 17,911.90 × 7,946.09
  4. Step 4: Simplify right side
    12,983.89x = 142,329,529.74
  5. Step 5: Solve for x
    x = 142,329,529.74/12,983.89
  6. Step 6: Final answer
    x = 10,962.01

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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.