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Finding the Fourth Proportional to 7,863.30, 10,854.68 and 5,214.60

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Solution

The fourth proportional to 7,863.30, 10,854.68 and 5,214.60 is: 7,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.30 : 10,854.68 = 5,214.60 : x
  2. Step 2: Convert to fraction form
    7,863.30/10,854.68 = 5,214.60/x
  3. Step 3: Cross multiply
    7,863.30x = 10,854.68 × 5,214.60
  4. Step 4: Simplify right side
    7,863.30x = 56,602,788.26
  5. Step 5: Solve for x
    x = 56,602,788.26/7,863.30
  6. Step 6: Final answer
    x = 7,198.35

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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.