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Finding the Fourth Proportional to 10,468.37, 14,444.06 and 6,220.82

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Solution

The fourth proportional to 10,468.37, 14,444.06 and 6,220.82 is: 8,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.37 : 14,444.06 = 6,220.82 : x
  2. Step 2: Convert to fraction form
    10,468.37/14,444.06 = 6,220.82/x
  3. Step 3: Cross multiply
    10,468.37x = 14,444.06 × 6,220.82
  4. Step 4: Simplify right side
    10,468.37x = 89,853,902.34
  5. Step 5: Solve for x
    x = 89,853,902.34/10,468.37
  6. Step 6: Final answer
    x = 8,583.37

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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.