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Finding the Fourth Proportional to 10,706.31, 14,778.86 and 6,513.75

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Solution

The fourth proportional to 10,706.31, 14,778.86 and 6,513.75 is: 8,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.31 : 14,778.86 = 6,513.75 : x
  2. Step 2: Convert to fraction form
    10,706.31/14,778.86 = 6,513.75/x
  3. Step 3: Cross multiply
    10,706.31x = 14,778.86 × 6,513.75
  4. Step 4: Simplify right side
    10,706.31x = 96,265,766.76
  5. Step 5: Solve for x
    x = 96,265,766.76/10,706.31
  6. Step 6: Final answer
    x = 8,991.50

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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.