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Finding the Fourth Proportional to 10,415.68, 14,369.07 and 6,221.50

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Solution

The fourth proportional to 10,415.68, 14,369.07 and 6,221.50 is: 8,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.68 : 14,369.07 = 6,221.50 : x
  2. Step 2: Convert to fraction form
    10,415.68/14,369.07 = 6,221.50/x
  3. Step 3: Cross multiply
    10,415.68x = 14,369.07 × 6,221.50
  4. Step 4: Simplify right side
    10,415.68x = 89,397,169.01
  5. Step 5: Solve for x
    x = 89,397,169.01/10,415.68
  6. Step 6: Final answer
    x = 8,582.94

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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.