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Finding the Fourth Proportional to 11,728.40, 17,585.30 and 6,537.92

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Solution

The fourth proportional to 11,728.40, 17,585.30 and 6,537.92 is: 9,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.40 : 17,585.30 = 6,537.92 : x
  2. Step 2: Convert to fraction form
    11,728.40/17,585.30 = 6,537.92/x
  3. Step 3: Cross multiply
    11,728.40x = 17,585.30 × 6,537.92
  4. Step 4: Simplify right side
    11,728.40x = 114,971,212.99
  5. Step 5: Solve for x
    x = 114,971,212.99/11,728.40
  6. Step 6: Final answer
    x = 9,802.81

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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.