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Finding the Fourth Proportional to 7,885.68, 11,828.34 and 1,962.54

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Solution

The fourth proportional to 7,885.68, 11,828.34 and 1,962.54 is: 2,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.68 : 11,828.34 = 1,962.54 : x
  2. Step 2: Convert to fraction form
    7,885.68/11,828.34 = 1,962.54/x
  3. Step 3: Cross multiply
    7,885.68x = 11,828.34 × 1,962.54
  4. Step 4: Simplify right side
    7,885.68x = 23,213,590.38
  5. Step 5: Solve for x
    x = 23,213,590.38/7,885.68
  6. Step 6: Final answer
    x = 2,943.77

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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.