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Finding the Fourth Proportional to 6,809.76, 10,212.98 and 1,878.39

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Solution

The fourth proportional to 6,809.76, 10,212.98 and 1,878.39 is: 2,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.76 : 10,212.98 = 1,878.39 : x
  2. Step 2: Convert to fraction form
    6,809.76/10,212.98 = 1,878.39/x
  3. Step 3: Cross multiply
    6,809.76x = 10,212.98 × 1,878.39
  4. Step 4: Simplify right side
    6,809.76x = 19,183,950.11
  5. Step 5: Solve for x
    x = 19,183,950.11/6,809.76
  6. Step 6: Final answer
    x = 2,817.13

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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.