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Finding the Fourth Proportional to 7,853.40, 10,838.26 and 5,196.20

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Solution

The fourth proportional to 7,853.40, 10,838.26 and 5,196.20 is: 7,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.40 : 10,838.26 = 5,196.20 : x
  2. Step 2: Convert to fraction form
    7,853.40/10,838.26 = 5,196.20/x
  3. Step 3: Cross multiply
    7,853.40x = 10,838.26 × 5,196.20
  4. Step 4: Simplify right side
    7,853.40x = 56,317,766.61
  5. Step 5: Solve for x
    x = 56,317,766.61/7,853.40
  6. Step 6: Final answer
    x = 7,171.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.