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Finding the Fourth Proportional to 7,928.57, 11,892.84 and 2,085.18

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Solution

The fourth proportional to 7,928.57, 11,892.84 and 2,085.18 is: 3,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.57 : 11,892.84 = 2,085.18 : x
  2. Step 2: Convert to fraction form
    7,928.57/11,892.84 = 2,085.18/x
  3. Step 3: Cross multiply
    7,928.57x = 11,892.84 × 2,085.18
  4. Step 4: Simplify right side
    7,928.57x = 24,798,712.11
  5. Step 5: Solve for x
    x = 24,798,712.11/7,928.57
  6. Step 6: Final answer
    x = 3,127.77

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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.