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Finding the Fourth Proportional to 10,778.40, 16,141.68 and 7,305.12

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Solution

The fourth proportional to 10,778.40, 16,141.68 and 7,305.12 is: 10,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.40 : 16,141.68 = 7,305.12 : x
  2. Step 2: Convert to fraction form
    10,778.40/16,141.68 = 7,305.12/x
  3. Step 3: Cross multiply
    10,778.40x = 16,141.68 × 7,305.12
  4. Step 4: Simplify right side
    10,778.40x = 117,916,909.40
  5. Step 5: Solve for x
    x = 117,916,909.40/10,778.40
  6. Step 6: Final answer
    x = 10,940.11

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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.