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Finding the Fourth Proportional to 7,895.40, 11,828.70 and 4,813.80

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Solution

The fourth proportional to 7,895.40, 11,828.70 and 4,813.80 is: 7,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.40 : 11,828.70 = 4,813.80 : x
  2. Step 2: Convert to fraction form
    7,895.40/11,828.70 = 4,813.80/x
  3. Step 3: Cross multiply
    7,895.40x = 11,828.70 × 4,813.80
  4. Step 4: Simplify right side
    7,895.40x = 56,940,996.06
  5. Step 5: Solve for x
    x = 56,940,996.06/7,895.40
  6. Step 6: Final answer
    x = 7,211.92

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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.