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Finding the Fourth Proportional to 11,165.81, 15,405.64 and 7,189.22

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Solution

The fourth proportional to 11,165.81, 15,405.64 and 7,189.22 is: 9,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.81 : 15,405.64 = 7,189.22 : x
  2. Step 2: Convert to fraction form
    11,165.81/15,405.64 = 7,189.22/x
  3. Step 3: Cross multiply
    11,165.81x = 15,405.64 × 7,189.22
  4. Step 4: Simplify right side
    11,165.81x = 110,754,555.74
  5. Step 5: Solve for x
    x = 110,754,555.74/11,165.81
  6. Step 6: Final answer
    x = 9,919.08

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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.