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Finding the Fourth Proportional to 8,922, 12,313.44 and 5,196

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Solution

The fourth proportional to 8,922, 12,313.44 and 5,196 is: 7,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922 : 12,313.44 = 5,196 : x
  2. Step 2: Convert to fraction form
    8,922/12,313.44 = 5,196/x
  3. Step 3: Cross multiply
    8,922x = 12,313.44 × 5,196
  4. Step 4: Simplify right side
    8,922x = 63,980,634.24
  5. Step 5: Solve for x
    x = 63,980,634.24/8,922
  6. Step 6: Final answer
    x = 7,171.11

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Why These Related Problems?

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