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Finding the Fourth Proportional to 28,074.30, 42,111.09 and 8,084.28

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Solution

The fourth proportional to 28,074.30, 42,111.09 and 8,084.28 is: 12,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,074.30 : 42,111.09 = 8,084.28 : x
  2. Step 2: Convert to fraction form
    28,074.30/42,111.09 = 8,084.28/x
  3. Step 3: Cross multiply
    28,074.30x = 42,111.09 × 8,084.28
  4. Step 4: Simplify right side
    28,074.30x = 340,437,842.67
  5. Step 5: Solve for x
    x = 340,437,842.67/28,074.30
  6. Step 6: Final answer
    x = 12,126.32

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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.