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Finding the Fourth Proportional to 10,697.75, 14,762.93 and 5,982.02

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Solution

The fourth proportional to 10,697.75, 14,762.93 and 5,982.02 is: 8,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.75 : 14,762.93 = 5,982.02 : x
  2. Step 2: Convert to fraction form
    10,697.75/14,762.93 = 5,982.02/x
  3. Step 3: Cross multiply
    10,697.75x = 14,762.93 × 5,982.02
  4. Step 4: Simplify right side
    10,697.75x = 88,312,142.52
  5. Step 5: Solve for x
    x = 88,312,142.52/10,697.75
  6. Step 6: Final answer
    x = 8,255.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.