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Finding the Fourth Proportional to 7,858.65, 11,787.44 and 2,926.02

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Solution

The fourth proportional to 7,858.65, 11,787.44 and 2,926.02 is: 4,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.65 : 11,787.44 = 2,926.02 : x
  2. Step 2: Convert to fraction form
    7,858.65/11,787.44 = 2,926.02/x
  3. Step 3: Cross multiply
    7,858.65x = 11,787.44 × 2,926.02
  4. Step 4: Simplify right side
    7,858.65x = 34,490,331.22
  5. Step 5: Solve for x
    x = 34,490,331.22/7,858.65
  6. Step 6: Final answer
    x = 4,388.83

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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.