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Finding the Fourth Proportional to 10,735.97, 14,814.27 and 6,258.61

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Solution

The fourth proportional to 10,735.97, 14,814.27 and 6,258.61 is: 8,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.97 : 14,814.27 = 6,258.61 : x
  2. Step 2: Convert to fraction form
    10,735.97/14,814.27 = 6,258.61/x
  3. Step 3: Cross multiply
    10,735.97x = 14,814.27 × 6,258.61
  4. Step 4: Simplify right side
    10,735.97x = 92,716,701.33
  5. Step 5: Solve for x
    x = 92,716,701.33/10,735.97
  6. Step 6: Final answer
    x = 8,636.08

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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.