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Finding the Fourth Proportional to 8,434.41, 11,643.93 and 5,451.94

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Solution

The fourth proportional to 8,434.41, 11,643.93 and 5,451.94 is: 7,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.41 : 11,643.93 = 5,451.94 : x
  2. Step 2: Convert to fraction form
    8,434.41/11,643.93 = 5,451.94/x
  3. Step 3: Cross multiply
    8,434.41x = 11,643.93 × 5,451.94
  4. Step 4: Simplify right side
    8,434.41x = 63,481,949.50
  5. Step 5: Solve for x
    x = 63,481,949.50/8,434.41
  6. Step 6: Final answer
    x = 7,526.55

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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.