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Finding the Fourth Proportional to 13,102.08, 18,078.84 and 7,512

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Solution

The fourth proportional to 13,102.08, 18,078.84 and 7,512 is: 10,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.08 : 18,078.84 = 7,512 : x
  2. Step 2: Convert to fraction form
    13,102.08/18,078.84 = 7,512/x
  3. Step 3: Cross multiply
    13,102.08x = 18,078.84 × 7,512
  4. Step 4: Simplify right side
    13,102.08x = 135,808,246.08
  5. Step 5: Solve for x
    x = 135,808,246.08/13,102.08
  6. Step 6: Final answer
    x = 10,365.40

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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.