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Finding the Fourth Proportional to 7,857.84, 11,787.22 and 2,927.08

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Solution

The fourth proportional to 7,857.84, 11,787.22 and 2,927.08 is: 4,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 11,787.22 = 2,927.08 : x
  2. Step 2: Convert to fraction form
    7,857.84/11,787.22 = 2,927.08/x
  3. Step 3: Cross multiply
    7,857.84x = 11,787.22 × 2,927.08
  4. Step 4: Simplify right side
    7,857.84x = 34,502,135.92
  5. Step 5: Solve for x
    x = 34,502,135.92/7,857.84
  6. Step 6: Final answer
    x = 4,390.79

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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.