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Finding the Fourth Proportional to 10,829.50, 14,943.64 and 6,049.06

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Solution

The fourth proportional to 10,829.50, 14,943.64 and 6,049.06 is: 8,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.50 : 14,943.64 = 6,049.06 : x
  2. Step 2: Convert to fraction form
    10,829.50/14,943.64 = 6,049.06/x
  3. Step 3: Cross multiply
    10,829.50x = 14,943.64 × 6,049.06
  4. Step 4: Simplify right side
    10,829.50x = 90,394,974.98
  5. Step 5: Solve for x
    x = 90,394,974.98/10,829.50
  6. Step 6: Final answer
    x = 8,347.11

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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.