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Finding the Fourth Proportional to 10,630.25, 14,670.02 and 5,850.32

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Solution

The fourth proportional to 10,630.25, 14,670.02 and 5,850.32 is: 8,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.25 : 14,670.02 = 5,850.32 : x
  2. Step 2: Convert to fraction form
    10,630.25/14,670.02 = 5,850.32/x
  3. Step 3: Cross multiply
    10,630.25x = 14,670.02 × 5,850.32
  4. Step 4: Simplify right side
    10,630.25x = 85,824,208.80
  5. Step 5: Solve for x
    x = 85,824,208.80/10,630.25
  6. Step 6: Final answer
    x = 8,073.59

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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.