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Finding the Fourth Proportional to 12,707.46, 17,530.38 and 7,399.08

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Solution

The fourth proportional to 12,707.46, 17,530.38 and 7,399.08 is: 10,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.46 : 17,530.38 = 7,399.08 : x
  2. Step 2: Convert to fraction form
    12,707.46/17,530.38 = 7,399.08/x
  3. Step 3: Cross multiply
    12,707.46x = 17,530.38 × 7,399.08
  4. Step 4: Simplify right side
    12,707.46x = 129,708,684.05
  5. Step 5: Solve for x
    x = 129,708,684.05/12,707.46
  6. Step 6: Final answer
    x = 10,207.29

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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.