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Finding the Fourth Proportional to 10,458.92, 14,434.62 and 5,982.06

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Solution

The fourth proportional to 10,458.92, 14,434.62 and 5,982.06 is: 8,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.92 : 14,434.62 = 5,982.06 : x
  2. Step 2: Convert to fraction form
    10,458.92/14,434.62 = 5,982.06/x
  3. Step 3: Cross multiply
    10,458.92x = 14,434.62 × 5,982.06
  4. Step 4: Simplify right side
    10,458.92x = 86,348,762.92
  5. Step 5: Solve for x
    x = 86,348,762.92/10,458.92
  6. Step 6: Final answer
    x = 8,255.99

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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.