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Finding the Fourth Proportional to 10,580.36, 14,601.36 and 5,864.64

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Solution

The fourth proportional to 10,580.36, 14,601.36 and 5,864.64 is: 8,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.36 : 14,601.36 = 5,864.64 : x
  2. Step 2: Convert to fraction form
    10,580.36/14,601.36 = 5,864.64/x
  3. Step 3: Cross multiply
    10,580.36x = 14,601.36 × 5,864.64
  4. Step 4: Simplify right side
    10,580.36x = 85,631,687.15
  5. Step 5: Solve for x
    x = 85,631,687.15/10,580.36
  6. Step 6: Final answer
    x = 8,093.46

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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.