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Finding the Fourth Proportional to 11,875.44, 17,812.98 and 4,084.32

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Solution

The fourth proportional to 11,875.44, 17,812.98 and 4,084.32 is: 6,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.44 : 17,812.98 = 4,084.32 : x
  2. Step 2: Convert to fraction form
    11,875.44/17,812.98 = 4,084.32/x
  3. Step 3: Cross multiply
    11,875.44x = 17,812.98 × 4,084.32
  4. Step 4: Simplify right side
    11,875.44x = 72,753,910.47
  5. Step 5: Solve for x
    x = 72,753,910.47/11,875.44
  6. Step 6: Final answer
    x = 6,126.42

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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.