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Finding the Fourth Proportional to 10,539.69, 14,544.63 and 5,824.05

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Solution

The fourth proportional to 10,539.69, 14,544.63 and 5,824.05 is: 8,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.69 : 14,544.63 = 5,824.05 : x
  2. Step 2: Convert to fraction form
    10,539.69/14,544.63 = 5,824.05/x
  3. Step 3: Cross multiply
    10,539.69x = 14,544.63 × 5,824.05
  4. Step 4: Simplify right side
    10,539.69x = 84,708,652.35
  5. Step 5: Solve for x
    x = 84,708,652.35/10,539.69
  6. Step 6: Final answer
    x = 8,037.11

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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.