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Finding the Fourth Proportional to 11,704.12, 17,565.90 and 5,133.40

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Solution

The fourth proportional to 11,704.12, 17,565.90 and 5,133.40 is: 7,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.12 : 17,565.90 = 5,133.40 : x
  2. Step 2: Convert to fraction form
    11,704.12/17,565.90 = 5,133.40/x
  3. Step 3: Cross multiply
    11,704.12x = 17,565.90 × 5,133.40
  4. Step 4: Simplify right side
    11,704.12x = 90,172,791.06
  5. Step 5: Solve for x
    x = 90,172,791.06/11,704.12
  6. Step 6: Final answer
    x = 7,704.36

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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.