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Finding the Fourth Proportional to 11,225.40, 16,805.70 and 6,851.40

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Solution

The fourth proportional to 11,225.40, 16,805.70 and 6,851.40 is: 10,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.40 : 16,805.70 = 6,851.40 : x
  2. Step 2: Convert to fraction form
    11,225.40/16,805.70 = 6,851.40/x
  3. Step 3: Cross multiply
    11,225.40x = 16,805.70 × 6,851.40
  4. Step 4: Simplify right side
    11,225.40x = 115,142,572.98
  5. Step 5: Solve for x
    x = 115,142,572.98/11,225.40
  6. Step 6: Final answer
    x = 10,257.32

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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.