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Finding the Fourth Proportional to 7,443.40, 11,165.10 and 6,809.80

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Solution

The fourth proportional to 7,443.40, 11,165.10 and 6,809.80 is: 10,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.40 : 11,165.10 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    7,443.40/11,165.10 = 6,809.80/x
  3. Step 3: Cross multiply
    7,443.40x = 11,165.10 × 6,809.80
  4. Step 4: Simplify right side
    7,443.40x = 76,032,097.98
  5. Step 5: Solve for x
    x = 76,032,097.98/7,443.40
  6. Step 6: Final answer
    x = 10,214.70

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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.