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Finding the Fourth Proportional to 10,295.30, 14,200.01 and 6,519.08

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Solution

The fourth proportional to 10,295.30, 14,200.01 and 6,519.08 is: 8,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.30 : 14,200.01 = 6,519.08 : x
  2. Step 2: Convert to fraction form
    10,295.30/14,200.01 = 6,519.08/x
  3. Step 3: Cross multiply
    10,295.30x = 14,200.01 × 6,519.08
  4. Step 4: Simplify right side
    10,295.30x = 92,571,028.54
  5. Step 5: Solve for x
    x = 92,571,028.54/10,295.30
  6. Step 6: Final answer
    x = 8,991.58

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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.