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Finding the Fourth Proportional to 11,438.12, 17,157.12 and 7,514.16

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Solution

The fourth proportional to 11,438.12, 17,157.12 and 7,514.16 is: 11,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.12 : 17,157.12 = 7,514.16 : x
  2. Step 2: Convert to fraction form
    11,438.12/17,157.12 = 7,514.16/x
  3. Step 3: Cross multiply
    11,438.12x = 17,157.12 × 7,514.16
  4. Step 4: Simplify right side
    11,438.12x = 128,921,344.82
  5. Step 5: Solve for x
    x = 128,921,344.82/11,438.12
  6. Step 6: Final answer
    x = 11,271.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.