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Finding the Fourth Proportional to 10,838.20, 16,259.70 and 8,505.40

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Solution

The fourth proportional to 10,838.20, 16,259.70 and 8,505.40 is: 12,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.20 : 16,259.70 = 8,505.40 : x
  2. Step 2: Convert to fraction form
    10,838.20/16,259.70 = 8,505.40/x
  3. Step 3: Cross multiply
    10,838.20x = 16,259.70 × 8,505.40
  4. Step 4: Simplify right side
    10,838.20x = 138,295,252.38
  5. Step 5: Solve for x
    x = 138,295,252.38/10,838.20
  6. Step 6: Final answer
    x = 12,759.98

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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.