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Finding the Fourth Proportional to 11,712.51, 17,566.74 and 3,921.30

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Solution

The fourth proportional to 11,712.51, 17,566.74 and 3,921.30 is: 5,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.51 : 17,566.74 = 3,921.30 : x
  2. Step 2: Convert to fraction form
    11,712.51/17,566.74 = 3,921.30/x
  3. Step 3: Cross multiply
    11,712.51x = 17,566.74 × 3,921.30
  4. Step 4: Simplify right side
    11,712.51x = 68,884,457.56
  5. Step 5: Solve for x
    x = 68,884,457.56/11,712.51
  6. Step 6: Final answer
    x = 5,881.27

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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.