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Finding the Fourth Proportional to 10,323.86, 14,247.10 and 5,847.50

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Solution

The fourth proportional to 10,323.86, 14,247.10 and 5,847.50 is: 8,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.86 : 14,247.10 = 5,847.50 : x
  2. Step 2: Convert to fraction form
    10,323.86/14,247.10 = 5,847.50/x
  3. Step 3: Cross multiply
    10,323.86x = 14,247.10 × 5,847.50
  4. Step 4: Simplify right side
    10,323.86x = 83,309,917.25
  5. Step 5: Solve for x
    x = 83,309,917.25/10,323.86
  6. Step 6: Final answer
    x = 8,069.65

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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.