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Finding the Fourth Proportional to 7,782.12, 11,652.30 and 4,854.60

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Solution

The fourth proportional to 7,782.12, 11,652.30 and 4,854.60 is: 7,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.12 : 11,652.30 = 4,854.60 : x
  2. Step 2: Convert to fraction form
    7,782.12/11,652.30 = 4,854.60/x
  3. Step 3: Cross multiply
    7,782.12x = 11,652.30 × 4,854.60
  4. Step 4: Simplify right side
    7,782.12x = 56,567,255.58
  5. Step 5: Solve for x
    x = 56,567,255.58/7,782.12
  6. Step 6: Final answer
    x = 7,268.87

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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.