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Finding the Fourth Proportional to 10,201, 14,077.38 and 6,011.80

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Solution

The fourth proportional to 10,201, 14,077.38 and 6,011.80 is: 8,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201 : 14,077.38 = 6,011.80 : x
  2. Step 2: Convert to fraction form
    10,201/14,077.38 = 6,011.80/x
  3. Step 3: Cross multiply
    10,201x = 14,077.38 × 6,011.80
  4. Step 4: Simplify right side
    10,201x = 84,630,393.08
  5. Step 5: Solve for x
    x = 84,630,393.08/10,201
  6. Step 6: Final answer
    x = 8,296.28

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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.