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Finding the Fourth Proportional to 11,409.40, 17,116.73 and 4,835.84

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Solution

The fourth proportional to 11,409.40, 17,116.73 and 4,835.84 is: 7,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.40 : 17,116.73 = 4,835.84 : x
  2. Step 2: Convert to fraction form
    11,409.40/17,116.73 = 4,835.84/x
  3. Step 3: Cross multiply
    11,409.40x = 17,116.73 × 4,835.84
  4. Step 4: Simplify right side
    11,409.40x = 82,773,743.42
  5. Step 5: Solve for x
    x = 82,773,743.42/11,409.40
  6. Step 6: Final answer
    x = 7,254.88

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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.