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Finding the Fourth Proportional to 10,636.25, 14,678.03 and 5,920.84

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Solution

The fourth proportional to 10,636.25, 14,678.03 and 5,920.84 is: 8,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.25 : 14,678.03 = 5,920.84 : x
  2. Step 2: Convert to fraction form
    10,636.25/14,678.03 = 5,920.84/x
  3. Step 3: Cross multiply
    10,636.25x = 14,678.03 × 5,920.84
  4. Step 4: Simplify right side
    10,636.25x = 86,906,164.15
  5. Step 5: Solve for x
    x = 86,906,164.15/10,636.25
  6. Step 6: Final answer
    x = 8,170.75

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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.