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Finding the Fourth Proportional to 10,580.82, 14,600.74 and 5,800.00

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Solution

The fourth proportional to 10,580.82, 14,600.74 and 5,800.00 is: 8,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.82 : 14,600.74 = 5,800.00 : x
  2. Step 2: Convert to fraction form
    10,580.82/14,600.74 = 5,800.00/x
  3. Step 3: Cross multiply
    10,580.82x = 14,600.74 × 5,800.00
  4. Step 4: Simplify right side
    10,580.82x = 84,684,190.00
  5. Step 5: Solve for x
    x = 84,684,190.00/10,580.82
  6. Step 6: Final answer
    x = 8,003.56

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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.