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Finding the Fourth Proportional to 10,735.97, 14,815.28 and 6,486.29

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Solution

The fourth proportional to 10,735.97, 14,815.28 and 6,486.29 is: 8,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.97 : 14,815.28 = 6,486.29 : x
  2. Step 2: Convert to fraction form
    10,735.97/14,815.28 = 6,486.29/x
  3. Step 3: Cross multiply
    10,735.97x = 14,815.28 × 6,486.29
  4. Step 4: Simplify right side
    10,735.97x = 96,096,202.51
  5. Step 5: Solve for x
    x = 96,096,202.51/10,735.97
  6. Step 6: Final answer
    x = 8,950.86

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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.