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Finding the Fourth Proportional to 13,103.34, 18,083.43 and 7,798.38

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Solution

The fourth proportional to 13,103.34, 18,083.43 and 7,798.38 is: 10,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.34 : 18,083.43 = 7,798.38 : x
  2. Step 2: Convert to fraction form
    13,103.34/18,083.43 = 7,798.38/x
  3. Step 3: Cross multiply
    13,103.34x = 18,083.43 × 7,798.38
  4. Step 4: Simplify right side
    13,103.34x = 141,021,458.84
  5. Step 5: Solve for x
    x = 141,021,458.84/13,103.34
  6. Step 6: Final answer
    x = 10,762.25

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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.