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Finding the Fourth Proportional to 10,630.82, 14,670.24 and 5,915

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Solution

The fourth proportional to 10,630.82, 14,670.24 and 5,915 is: 8,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.82 : 14,670.24 = 5,915 : x
  2. Step 2: Convert to fraction form
    10,630.82/14,670.24 = 5,915/x
  3. Step 3: Cross multiply
    10,630.82x = 14,670.24 × 5,915
  4. Step 4: Simplify right side
    10,630.82x = 86,774,469.60
  5. Step 5: Solve for x
    x = 86,774,469.60/10,630.82
  6. Step 6: Final answer
    x = 8,162.54

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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.