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Finding the Fourth Proportional to 11,412.84, 15,733.98 and 11,164.44

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Solution

The fourth proportional to 11,412.84, 15,733.98 and 11,164.44 is: 15,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.84 : 15,733.98 = 11,164.44 : x
  2. Step 2: Convert to fraction form
    11,412.84/15,733.98 = 11,164.44/x
  3. Step 3: Cross multiply
    11,412.84x = 15,733.98 × 11,164.44
  4. Step 4: Simplify right side
    11,412.84x = 175,661,075.67
  5. Step 5: Solve for x
    x = 175,661,075.67/11,412.84
  6. Step 6: Final answer
    x = 15,391.53

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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.