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Finding the Fourth Proportional to 8,114.88, 11,197.92 and 4,577.60

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Solution

The fourth proportional to 8,114.88, 11,197.92 and 4,577.60 is: 6,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.88 : 11,197.92 = 4,577.60 : x
  2. Step 2: Convert to fraction form
    8,114.88/11,197.92 = 4,577.60/x
  3. Step 3: Cross multiply
    8,114.88x = 11,197.92 × 4,577.60
  4. Step 4: Simplify right side
    8,114.88x = 51,259,598.59
  5. Step 5: Solve for x
    x = 51,259,598.59/8,114.88
  6. Step 6: Final answer
    x = 6,316.74

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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.