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Finding the Fourth Proportional to 10,443.60, 14,411.98 and 5,906.21

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Solution

The fourth proportional to 10,443.60, 14,411.98 and 5,906.21 is: 8,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.60 : 14,411.98 = 5,906.21 : x
  2. Step 2: Convert to fraction form
    10,443.60/14,411.98 = 5,906.21/x
  3. Step 3: Cross multiply
    10,443.60x = 14,411.98 × 5,906.21
  4. Step 4: Simplify right side
    10,443.60x = 85,120,180.40
  5. Step 5: Solve for x
    x = 85,120,180.40/10,443.60
  6. Step 6: Final answer
    x = 8,150.46

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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.