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Finding the Fourth Proportional to 11,857.44, 17,802.36 and 6,666.96

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Solution

The fourth proportional to 11,857.44, 17,802.36 and 6,666.96 is: 10,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.44 : 17,802.36 = 6,666.96 : x
  2. Step 2: Convert to fraction form
    11,857.44/17,802.36 = 6,666.96/x
  3. Step 3: Cross multiply
    11,857.44x = 17,802.36 × 6,666.96
  4. Step 4: Simplify right side
    11,857.44x = 118,687,622.03
  5. Step 5: Solve for x
    x = 118,687,622.03/11,857.44
  6. Step 6: Final answer
    x = 10,009.55

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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.