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Finding the Fourth Proportional to 11,438.64, 17,157.90 and 7,514.64

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Solution

The fourth proportional to 11,438.64, 17,157.90 and 7,514.64 is: 11,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.64 : 17,157.90 = 7,514.64 : x
  2. Step 2: Convert to fraction form
    11,438.64/17,157.90 = 7,514.64/x
  3. Step 3: Cross multiply
    11,438.64x = 17,157.90 × 7,514.64
  4. Step 4: Simplify right side
    11,438.64x = 128,935,441.66
  5. Step 5: Solve for x
    x = 128,935,441.66/11,438.64
  6. Step 6: Final answer
    x = 11,271.92

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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.