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Finding the Fourth Proportional to 11,419.33, 15,739.84 and 7,641.16

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Solution

The fourth proportional to 11,419.33, 15,739.84 and 7,641.16 is: 10,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.33 : 15,739.84 = 7,641.16 : x
  2. Step 2: Convert to fraction form
    11,419.33/15,739.84 = 7,641.16/x
  3. Step 3: Cross multiply
    11,419.33x = 15,739.84 × 7,641.16
  4. Step 4: Simplify right side
    11,419.33x = 120,270,635.81
  5. Step 5: Solve for x
    x = 120,270,635.81/11,419.33
  6. Step 6: Final answer
    x = 10,532.20

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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.