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Finding the Fourth Proportional to 11,765.53, 17,643.93 and 7,090.81

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Solution

The fourth proportional to 11,765.53, 17,643.93 and 7,090.81 is: 10,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.53 : 17,643.93 = 7,090.81 : x
  2. Step 2: Convert to fraction form
    11,765.53/17,643.93 = 7,090.81/x
  3. Step 3: Cross multiply
    11,765.53x = 17,643.93 × 7,090.81
  4. Step 4: Simplify right side
    11,765.53x = 125,109,755.28
  5. Step 5: Solve for x
    x = 125,109,755.28/11,765.53
  6. Step 6: Final answer
    x = 10,633.58

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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.