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Finding the Fourth Proportional to 13,102.64, 18,087.73 and 7,723.38

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Solution

The fourth proportional to 13,102.64, 18,087.73 and 7,723.38 is: 10,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.64 : 18,087.73 = 7,723.38 : x
  2. Step 2: Convert to fraction form
    13,102.64/18,087.73 = 7,723.38/x
  3. Step 3: Cross multiply
    13,102.64x = 18,087.73 × 7,723.38
  4. Step 4: Simplify right side
    13,102.64x = 139,698,412.13
  5. Step 5: Solve for x
    x = 139,698,412.13/13,102.64
  6. Step 6: Final answer
    x = 10,661.85

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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.