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Finding the Fourth Proportional to 10,762.45, 14,852.08 and 5,982.27

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Solution

The fourth proportional to 10,762.45, 14,852.08 and 5,982.27 is: 8,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.45 : 14,852.08 = 5,982.27 : x
  2. Step 2: Convert to fraction form
    10,762.45/14,852.08 = 5,982.27/x
  3. Step 3: Cross multiply
    10,762.45x = 14,852.08 × 5,982.27
  4. Step 4: Simplify right side
    10,762.45x = 88,849,167.58
  5. Step 5: Solve for x
    x = 88,849,167.58/10,762.45
  6. Step 6: Final answer
    x = 8,255.48

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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.