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Finding the Fourth Proportional to 11,077.40, 16,593.70 and 6,904.60

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Solution

The fourth proportional to 11,077.40, 16,593.70 and 6,904.60 is: 10,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.40 : 16,593.70 = 6,904.60 : x
  2. Step 2: Convert to fraction form
    11,077.40/16,593.70 = 6,904.60/x
  3. Step 3: Cross multiply
    11,077.40x = 16,593.70 × 6,904.60
  4. Step 4: Simplify right side
    11,077.40x = 114,572,861.02
  5. Step 5: Solve for x
    x = 114,572,861.02/11,077.40
  6. Step 6: Final answer
    x = 10,342.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.