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Finding the Fourth Proportional to 10,640.82, 14,684.58 and 5,925

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Solution

The fourth proportional to 10,640.82, 14,684.58 and 5,925 is: 8,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.82 : 14,684.58 = 5,925 : x
  2. Step 2: Convert to fraction form
    10,640.82/14,684.58 = 5,925/x
  3. Step 3: Cross multiply
    10,640.82x = 14,684.58 × 5,925
  4. Step 4: Simplify right side
    10,640.82x = 87,006,136.50
  5. Step 5: Solve for x
    x = 87,006,136.50/10,640.82
  6. Step 6: Final answer
    x = 8,176.64

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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.