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Finding the Fourth Proportional to 8,270.84, 11,415.54 and 5,084.12

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Solution

The fourth proportional to 8,270.84, 11,415.54 and 5,084.12 is: 7,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.84 : 11,415.54 = 5,084.12 : x
  2. Step 2: Convert to fraction form
    8,270.84/11,415.54 = 5,084.12/x
  3. Step 3: Cross multiply
    8,270.84x = 11,415.54 × 5,084.12
  4. Step 4: Simplify right side
    8,270.84x = 58,037,975.22
  5. Step 5: Solve for x
    x = 58,037,975.22/8,270.84
  6. Step 6: Final answer
    x = 7,017.18

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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.