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Finding the Fourth Proportional to 11,966.74, 17,948.74 and 4,571.03

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Solution

The fourth proportional to 11,966.74, 17,948.74 and 4,571.03 is: 6,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.74 : 17,948.74 = 4,571.03 : x
  2. Step 2: Convert to fraction form
    11,966.74/17,948.74 = 4,571.03/x
  3. Step 3: Cross multiply
    11,966.74x = 17,948.74 × 4,571.03
  4. Step 4: Simplify right side
    11,966.74x = 82,044,271.02
  5. Step 5: Solve for x
    x = 82,044,271.02/11,966.74
  6. Step 6: Final answer
    x = 6,856.03

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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.