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Finding the Fourth Proportional to 7,887.40, 11,830.92 and 2,043.96

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Solution

The fourth proportional to 7,887.40, 11,830.92 and 2,043.96 is: 3,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.40 : 11,830.92 = 2,043.96 : x
  2. Step 2: Convert to fraction form
    7,887.40/11,830.92 = 2,043.96/x
  3. Step 3: Cross multiply
    7,887.40x = 11,830.92 × 2,043.96
  4. Step 4: Simplify right side
    7,887.40x = 24,181,927.24
  5. Step 5: Solve for x
    x = 24,181,927.24/7,887.40
  6. Step 6: Final answer
    x = 3,065.89

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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.