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Finding the Fourth Proportional to 7,649.54, 11,464.60 and 4,182.74

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Solution

The fourth proportional to 7,649.54, 11,464.60 and 4,182.74 is: 6,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.54 : 11,464.60 = 4,182.74 : x
  2. Step 2: Convert to fraction form
    7,649.54/11,464.60 = 4,182.74/x
  3. Step 3: Cross multiply
    7,649.54x = 11,464.60 × 4,182.74
  4. Step 4: Simplify right side
    7,649.54x = 47,953,441.00
  5. Step 5: Solve for x
    x = 47,953,441.00/7,649.54
  6. Step 6: Final answer
    x = 6,268.80

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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.