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Finding the Fourth Proportional to 7,887.90, 11,828.61 and 2,955

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Solution

The fourth proportional to 7,887.90, 11,828.61 and 2,955 is: 4,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.90 : 11,828.61 = 2,955 : x
  2. Step 2: Convert to fraction form
    7,887.90/11,828.61 = 2,955/x
  3. Step 3: Cross multiply
    7,887.90x = 11,828.61 × 2,955
  4. Step 4: Simplify right side
    7,887.90x = 34,953,542.55
  5. Step 5: Solve for x
    x = 34,953,542.55/7,887.90
  6. Step 6: Final answer
    x = 4,431.29

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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.