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Finding the Fourth Proportional to 11,573.22, 15,970.95 and 6,268.02

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Solution

The fourth proportional to 11,573.22, 15,970.95 and 6,268.02 is: 8,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.22 : 15,970.95 = 6,268.02 : x
  2. Step 2: Convert to fraction form
    11,573.22/15,970.95 = 6,268.02/x
  3. Step 3: Cross multiply
    11,573.22x = 15,970.95 × 6,268.02
  4. Step 4: Simplify right side
    11,573.22x = 100,106,234.02
  5. Step 5: Solve for x
    x = 100,106,234.02/11,573.22
  6. Step 6: Final answer
    x = 8,649.82

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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.