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Finding the Fourth Proportional to 8,274.40, 11,418.55 and 4,497.69

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Solution

The fourth proportional to 8,274.40, 11,418.55 and 4,497.69 is: 6,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.40 : 11,418.55 = 4,497.69 : x
  2. Step 2: Convert to fraction form
    8,274.40/11,418.55 = 4,497.69/x
  3. Step 3: Cross multiply
    8,274.40x = 11,418.55 × 4,497.69
  4. Step 4: Simplify right side
    8,274.40x = 51,357,098.15
  5. Step 5: Solve for x
    x = 51,357,098.15/8,274.40
  6. Step 6: Final answer
    x = 6,206.75

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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.