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Finding the Fourth Proportional to 12,613.32, 17,406.37 and 7,311.21

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Solution

The fourth proportional to 12,613.32, 17,406.37 and 7,311.21 is: 10,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.32 : 17,406.37 = 7,311.21 : x
  2. Step 2: Convert to fraction form
    12,613.32/17,406.37 = 7,311.21/x
  3. Step 3: Cross multiply
    12,613.32x = 17,406.37 × 7,311.21
  4. Step 4: Simplify right side
    12,613.32x = 127,261,539.38
  5. Step 5: Solve for x
    x = 127,261,539.38/12,613.32
  6. Step 6: Final answer
    x = 10,089.46

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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.