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Finding the Fourth Proportional to 10,539.85, 14,544.87 and 5,824.03

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Solution

The fourth proportional to 10,539.85, 14,544.87 and 5,824.03 is: 8,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.85 : 14,544.87 = 5,824.03 : x
  2. Step 2: Convert to fraction form
    10,539.85/14,544.87 = 5,824.03/x
  3. Step 3: Cross multiply
    10,539.85x = 14,544.87 × 5,824.03
  4. Step 4: Simplify right side
    10,539.85x = 84,709,730.11
  5. Step 5: Solve for x
    x = 84,709,730.11/10,539.85
  6. Step 6: Final answer
    x = 8,037.09

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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.