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Finding the Fourth Proportional to 7,368, 11,052 and 1,896

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Solution

The fourth proportional to 7,368, 11,052 and 1,896 is: 2,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368 : 11,052 = 1,896 : x
  2. Step 2: Convert to fraction form
    7,368/11,052 = 1,896/x
  3. Step 3: Cross multiply
    7,368x = 11,052 × 1,896
  4. Step 4: Simplify right side
    7,368x = 20,954,592
  5. Step 5: Solve for x
    x = 20,954,592/7,368
  6. Step 6: Final answer
    x = 2,844

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.