Home / 10,207-14,083.23-5,730.33

Finding the Fourth Proportional to 10,207, 14,083.23 and 5,730.33

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Solution

The fourth proportional to 10,207, 14,083.23 and 5,730.33 is: 7,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 14,083.23 = 5,730.33 : x
  2. Step 2: Convert to fraction form
    10,207/14,083.23 = 5,730.33/x
  3. Step 3: Cross multiply
    10,207x = 14,083.23 × 5,730.33
  4. Step 4: Simplify right side
    10,207x = 80,701,555.37
  5. Step 5: Solve for x
    x = 80,701,555.37/10,207
  6. Step 6: Final answer
    x = 7,906.49

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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.