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Finding the Fourth Proportional to 10,636.31, 14,678.62 and 5,920.59

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Solution

The fourth proportional to 10,636.31, 14,678.62 and 5,920.59 is: 8,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.31 : 14,678.62 = 5,920.59 : x
  2. Step 2: Convert to fraction form
    10,636.31/14,678.62 = 5,920.59/x
  3. Step 3: Cross multiply
    10,636.31x = 14,678.62 × 5,920.59
  4. Step 4: Simplify right side
    10,636.31x = 86,906,131.03
  5. Step 5: Solve for x
    x = 86,906,131.03/10,636.31
  6. Step 6: Final answer
    x = 8,170.70

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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.