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Finding the Fourth Proportional to 10,580.70, 14,601.55 and 5,800.32

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Solution

The fourth proportional to 10,580.70, 14,601.55 and 5,800.32 is: 8,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.70 : 14,601.55 = 5,800.32 : x
  2. Step 2: Convert to fraction form
    10,580.70/14,601.55 = 5,800.32/x
  3. Step 3: Cross multiply
    10,580.70x = 14,601.55 × 5,800.32
  4. Step 4: Simplify right side
    10,580.70x = 84,693,662.50
  5. Step 5: Solve for x
    x = 84,693,662.50/10,580.70
  6. Step 6: Final answer
    x = 8,004.54

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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.