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Finding the Fourth Proportional to 12,960, 17,886.02 and 7,371

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Solution

The fourth proportional to 12,960, 17,886.02 and 7,371 is: 10,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960 : 17,886.02 = 7,371 : x
  2. Step 2: Convert to fraction form
    12,960/17,886.02 = 7,371/x
  3. Step 3: Cross multiply
    12,960x = 17,886.02 × 7,371
  4. Step 4: Simplify right side
    12,960x = 131,837,816.57
  5. Step 5: Solve for x
    x = 131,837,816.57/12,960
  6. Step 6: Final answer
    x = 10,172.67

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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.