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Finding the Fourth Proportional to 7,845.28, 10,828.02 and 4,862.44

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Solution

The fourth proportional to 7,845.28, 10,828.02 and 4,862.44 is: 6,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.28 : 10,828.02 = 4,862.44 : x
  2. Step 2: Convert to fraction form
    7,845.28/10,828.02 = 4,862.44/x
  3. Step 3: Cross multiply
    7,845.28x = 10,828.02 × 4,862.44
  4. Step 4: Simplify right side
    7,845.28x = 52,650,597.57
  5. Step 5: Solve for x
    x = 52,650,597.57/7,845.28
  6. Step 6: Final answer
    x = 6,711.12

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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.