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Finding the Fourth Proportional to 11,165.64, 15,405.43 and 7,189.06

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Solution

The fourth proportional to 11,165.64, 15,405.43 and 7,189.06 is: 9,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.64 : 15,405.43 = 7,189.06 : x
  2. Step 2: Convert to fraction form
    11,165.64/15,405.43 = 7,189.06/x
  3. Step 3: Cross multiply
    11,165.64x = 15,405.43 × 7,189.06
  4. Step 4: Simplify right side
    11,165.64x = 110,750,560.60
  5. Step 5: Solve for x
    x = 110,750,560.60/11,165.64
  6. Step 6: Final answer
    x = 9,918.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.