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Finding the Fourth Proportional to 10,580.96, 15,866 and 3,558.56

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Solution

The fourth proportional to 10,580.96, 15,866 and 3,558.56 is: 5,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.96 : 15,866 = 3,558.56 : x
  2. Step 2: Convert to fraction form
    10,580.96/15,866 = 3,558.56/x
  3. Step 3: Cross multiply
    10,580.96x = 15,866 × 3,558.56
  4. Step 4: Simplify right side
    10,580.96x = 56,460,112.96
  5. Step 5: Solve for x
    x = 56,460,112.96/10,580.96
  6. Step 6: Final answer
    x = 5,336.01

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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.