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Finding the Fourth Proportional to 10,672.36, 15,986.78 and 8,705

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Solution

The fourth proportional to 10,672.36, 15,986.78 and 8,705 is: 13,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.36 : 15,986.78 = 8,705 : x
  2. Step 2: Convert to fraction form
    10,672.36/15,986.78 = 8,705/x
  3. Step 3: Cross multiply
    10,672.36x = 15,986.78 × 8,705
  4. Step 4: Simplify right side
    10,672.36x = 139,164,919.90
  5. Step 5: Solve for x
    x = 139,164,919.90/10,672.36
  6. Step 6: Final answer
    x = 13,039.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.