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Finding the Fourth Proportional to 10,969.50, 15,137.92 and 6,001.50

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Solution

The fourth proportional to 10,969.50, 15,137.92 and 6,001.50 is: 8,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.50 : 15,137.92 = 6,001.50 : x
  2. Step 2: Convert to fraction form
    10,969.50/15,137.92 = 6,001.50/x
  3. Step 3: Cross multiply
    10,969.50x = 15,137.92 × 6,001.50
  4. Step 4: Simplify right side
    10,969.50x = 90,850,226.88
  5. Step 5: Solve for x
    x = 90,850,226.88/10,969.50
  6. Step 6: Final answer
    x = 8,282.08

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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.