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Finding the Fourth Proportional to 11,189.16, 15,441.80 and 7,405.81

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Solution

The fourth proportional to 11,189.16, 15,441.80 and 7,405.81 is: 10,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.16 : 15,441.80 = 7,405.81 : x
  2. Step 2: Convert to fraction form
    11,189.16/15,441.80 = 7,405.81/x
  3. Step 3: Cross multiply
    11,189.16x = 15,441.80 × 7,405.81
  4. Step 4: Simplify right side
    11,189.16x = 114,358,961.22
  5. Step 5: Solve for x
    x = 114,358,961.22/11,189.16
  6. Step 6: Final answer
    x = 10,220.51

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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.