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Finding the Fourth Proportional to 12,077.33, 16,663.55 and 6,971.60

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Solution

The fourth proportional to 12,077.33, 16,663.55 and 6,971.60 is: 9,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.33 : 16,663.55 = 6,971.60 : x
  2. Step 2: Convert to fraction form
    12,077.33/16,663.55 = 6,971.60/x
  3. Step 3: Cross multiply
    12,077.33x = 16,663.55 × 6,971.60
  4. Step 4: Simplify right side
    12,077.33x = 116,171,521.86
  5. Step 5: Solve for x
    x = 116,171,521.86/12,077.33
  6. Step 6: Final answer
    x = 9,618.97

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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.