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Finding the Fourth Proportional to 8,457.34, 11,681.81 and 6,463.39

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Solution

The fourth proportional to 8,457.34, 11,681.81 and 6,463.39 is: 8,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.34 : 11,681.81 = 6,463.39 : x
  2. Step 2: Convert to fraction form
    8,457.34/11,681.81 = 6,463.39/x
  3. Step 3: Cross multiply
    8,457.34x = 11,681.81 × 6,463.39
  4. Step 4: Simplify right side
    8,457.34x = 75,504,093.94
  5. Step 5: Solve for x
    x = 75,504,093.94/8,457.34
  6. Step 6: Final answer
    x = 8,927.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.