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Finding the Fourth Proportional to 11,744.40, 16,206.84 and 7,028.40

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Solution

The fourth proportional to 11,744.40, 16,206.84 and 7,028.40 is: 9,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.40 : 16,206.84 = 7,028.40 : x
  2. Step 2: Convert to fraction form
    11,744.40/16,206.84 = 7,028.40/x
  3. Step 3: Cross multiply
    11,744.40x = 16,206.84 × 7,028.40
  4. Step 4: Simplify right side
    11,744.40x = 113,908,154.26
  5. Step 5: Solve for x
    x = 113,908,154.26/11,744.40
  6. Step 6: Final answer
    x = 9,698.93

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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.