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Finding the Fourth Proportional to 10,580.31, 14,600.85 and 5,864.61

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Solution

The fourth proportional to 10,580.31, 14,600.85 and 5,864.61 is: 8,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.31 : 14,600.85 = 5,864.61 : x
  2. Step 2: Convert to fraction form
    10,580.31/14,600.85 = 5,864.61/x
  3. Step 3: Cross multiply
    10,580.31x = 14,600.85 × 5,864.61
  4. Step 4: Simplify right side
    10,580.31x = 85,628,290.92
  5. Step 5: Solve for x
    x = 85,628,290.92/10,580.31
  6. Step 6: Final answer
    x = 8,093.17

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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.