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Finding the Fourth Proportional to 8,407.10, 11,597.28 and 5,218.40

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Solution

The fourth proportional to 8,407.10, 11,597.28 and 5,218.40 is: 7,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.10 : 11,597.28 = 5,218.40 : x
  2. Step 2: Convert to fraction form
    8,407.10/11,597.28 = 5,218.40/x
  3. Step 3: Cross multiply
    8,407.10x = 11,597.28 × 5,218.40
  4. Step 4: Simplify right side
    8,407.10x = 60,519,187.97
  5. Step 5: Solve for x
    x = 60,519,187.97/8,407.10
  6. Step 6: Final answer
    x = 7,198.59

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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.