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Finding the Fourth Proportional to 10,585.50, 14,612.09 and 7,940.60

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Solution

The fourth proportional to 10,585.50, 14,612.09 and 7,940.60 is: 10,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.50 : 14,612.09 = 7,940.60 : x
  2. Step 2: Convert to fraction form
    10,585.50/14,612.09 = 7,940.60/x
  3. Step 3: Cross multiply
    10,585.50x = 14,612.09 × 7,940.60
  4. Step 4: Simplify right side
    10,585.50x = 116,028,761.85
  5. Step 5: Solve for x
    x = 116,028,761.85/10,585.50
  6. Step 6: Final answer
    x = 10,961.10

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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.