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Finding the Fourth Proportional to 10,822.59, 14,936.10 and 6,043.59

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Solution

The fourth proportional to 10,822.59, 14,936.10 and 6,043.59 is: 8,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.59 : 14,936.10 = 6,043.59 : x
  2. Step 2: Convert to fraction form
    10,822.59/14,936.10 = 6,043.59/x
  3. Step 3: Cross multiply
    10,822.59x = 14,936.10 × 6,043.59
  4. Step 4: Simplify right side
    10,822.59x = 90,267,664.60
  5. Step 5: Solve for x
    x = 90,267,664.60/10,822.59
  6. Step 6: Final answer
    x = 8,340.67

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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.