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Finding the Fourth Proportional to 6,809.45, 10,214.19 and 1,878.98

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Solution

The fourth proportional to 6,809.45, 10,214.19 and 1,878.98 is: 2,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.45 : 10,214.19 = 1,878.98 : x
  2. Step 2: Convert to fraction form
    6,809.45/10,214.19 = 1,878.98/x
  3. Step 3: Cross multiply
    6,809.45x = 10,214.19 × 1,878.98
  4. Step 4: Simplify right side
    6,809.45x = 19,192,207.66
  5. Step 5: Solve for x
    x = 19,192,207.66/6,809.45
  6. Step 6: Final answer
    x = 2,818.47

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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.