Home / 11,204.73-15,454.80-10,206

Finding the Fourth Proportional to 11,204.73, 15,454.80 and 10,206

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Solution

The fourth proportional to 11,204.73, 15,454.80 and 10,206 is: 14,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.73 : 15,454.80 = 10,206 : x
  2. Step 2: Convert to fraction form
    11,204.73/15,454.80 = 10,206/x
  3. Step 3: Cross multiply
    11,204.73x = 15,454.80 × 10,206
  4. Step 4: Simplify right side
    11,204.73x = 157,731,688.80
  5. Step 5: Solve for x
    x = 157,731,688.80/11,204.73
  6. Step 6: Final answer
    x = 14,077.24

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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.