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Finding the Fourth Proportional to 10,798.43, 16,197.65 and 6,178.19

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Solution

The fourth proportional to 10,798.43, 16,197.65 and 6,178.19 is: 9,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.43 : 16,197.65 = 6,178.19 : x
  2. Step 2: Convert to fraction form
    10,798.43/16,197.65 = 6,178.19/x
  3. Step 3: Cross multiply
    10,798.43x = 16,197.65 × 6,178.19
  4. Step 4: Simplify right side
    10,798.43x = 100,072,159.25
  5. Step 5: Solve for x
    x = 100,072,159.25/10,798.43
  6. Step 6: Final answer
    x = 9,267.29

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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.