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Finding the Fourth Proportional to 7,875.69, 11,813.87 and 2,944.83

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Solution

The fourth proportional to 7,875.69, 11,813.87 and 2,944.83 is: 4,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.69 : 11,813.87 = 2,944.83 : x
  2. Step 2: Convert to fraction form
    7,875.69/11,813.87 = 2,944.83/x
  3. Step 3: Cross multiply
    7,875.69x = 11,813.87 × 2,944.83
  4. Step 4: Simplify right side
    7,875.69x = 34,789,824.07
  5. Step 5: Solve for x
    x = 34,789,824.07/7,875.69
  6. Step 6: Final answer
    x = 4,417.37

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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.