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Finding the Fourth Proportional to 11,735.20, 17,590.64 and 6,185.04

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Solution

The fourth proportional to 11,735.20, 17,590.64 and 6,185.04 is: 9,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.20 : 17,590.64 = 6,185.04 : x
  2. Step 2: Convert to fraction form
    11,735.20/17,590.64 = 6,185.04/x
  3. Step 3: Cross multiply
    11,735.20x = 17,590.64 × 6,185.04
  4. Step 4: Simplify right side
    11,735.20x = 108,798,812.03
  5. Step 5: Solve for x
    x = 108,798,812.03/11,735.20
  6. Step 6: Final answer
    x = 9,271.15

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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.