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Finding the Fourth Proportional to 7,804.29, 11,711.04 and 2,877.39

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Solution

The fourth proportional to 7,804.29, 11,711.04 and 2,877.39 is: 4,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.29 : 11,711.04 = 2,877.39 : x
  2. Step 2: Convert to fraction form
    7,804.29/11,711.04 = 2,877.39/x
  3. Step 3: Cross multiply
    7,804.29x = 11,711.04 × 2,877.39
  4. Step 4: Simplify right side
    7,804.29x = 33,697,229.39
  5. Step 5: Solve for x
    x = 33,697,229.39/7,804.29
  6. Step 6: Final answer
    x = 4,317.78

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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.