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Finding the Fourth Proportional to 10,850.25, 14,969.10 and 6,599.88

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Solution

The fourth proportional to 10,850.25, 14,969.10 and 6,599.88 is: 9,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.25 : 14,969.10 = 6,599.88 : x
  2. Step 2: Convert to fraction form
    10,850.25/14,969.10 = 6,599.88/x
  3. Step 3: Cross multiply
    10,850.25x = 14,969.10 × 6,599.88
  4. Step 4: Simplify right side
    10,850.25x = 98,794,288.46
  5. Step 5: Solve for x
    x = 98,794,288.46/10,850.25
  6. Step 6: Final answer
    x = 9,105.25

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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.