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Finding the Fourth Proportional to 10,698.57, 14,764.03 and 5,982.86

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Solution

The fourth proportional to 10,698.57, 14,764.03 and 5,982.86 is: 8,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.57 : 14,764.03 = 5,982.86 : x
  2. Step 2: Convert to fraction form
    10,698.57/14,764.03 = 5,982.86/x
  3. Step 3: Cross multiply
    10,698.57x = 14,764.03 × 5,982.86
  4. Step 4: Simplify right side
    10,698.57x = 88,331,146.48
  5. Step 5: Solve for x
    x = 88,331,146.48/10,698.57
  6. Step 6: Final answer
    x = 8,256.35

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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.