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Finding the Fourth Proportional to 7,789.98, 11,678.02 and 2,858.47

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Solution

The fourth proportional to 7,789.98, 11,678.02 and 2,858.47 is: 4,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.98 : 11,678.02 = 2,858.47 : x
  2. Step 2: Convert to fraction form
    7,789.98/11,678.02 = 2,858.47/x
  3. Step 3: Cross multiply
    7,789.98x = 11,678.02 × 2,858.47
  4. Step 4: Simplify right side
    7,789.98x = 33,381,277.28
  5. Step 5: Solve for x
    x = 33,381,277.28/7,789.98
  6. Step 6: Final answer
    x = 4,285.16

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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.