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Finding the Fourth Proportional to 10,600.68, 14,629.26 and 6,124.32

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Solution

The fourth proportional to 10,600.68, 14,629.26 and 6,124.32 is: 8,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.68 : 14,629.26 = 6,124.32 : x
  2. Step 2: Convert to fraction form
    10,600.68/14,629.26 = 6,124.32/x
  3. Step 3: Cross multiply
    10,600.68x = 14,629.26 × 6,124.32
  4. Step 4: Simplify right side
    10,600.68x = 89,594,269.60
  5. Step 5: Solve for x
    x = 89,594,269.60/10,600.68
  6. Step 6: Final answer
    x = 8,451.75

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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.