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Finding the Fourth Proportional to 10,179.80, 14,045.67 and 6,821.39

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Solution

The fourth proportional to 10,179.80, 14,045.67 and 6,821.39 is: 9,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.80 : 14,045.67 = 6,821.39 : x
  2. Step 2: Convert to fraction form
    10,179.80/14,045.67 = 6,821.39/x
  3. Step 3: Cross multiply
    10,179.80x = 14,045.67 × 6,821.39
  4. Step 4: Simplify right side
    10,179.80x = 95,810,959.71
  5. Step 5: Solve for x
    x = 95,810,959.71/10,179.80
  6. Step 6: Final answer
    x = 9,411.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.