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Finding the Fourth Proportional to 12,906, 17,802.36 and 7,867.80

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Solution

The fourth proportional to 12,906, 17,802.36 and 7,867.80 is: 10,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906 : 17,802.36 = 7,867.80 : x
  2. Step 2: Convert to fraction form
    12,906/17,802.36 = 7,867.80/x
  3. Step 3: Cross multiply
    12,906x = 17,802.36 × 7,867.80
  4. Step 4: Simplify right side
    12,906x = 140,065,408.01
  5. Step 5: Solve for x
    x = 140,065,408.01/12,906
  6. Step 6: Final answer
    x = 10,852.74

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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.