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Finding the Fourth Proportional to 10,200.32, 14,079.32 and 6,011

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Solution

The fourth proportional to 10,200.32, 14,079.32 and 6,011 is: 8,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.32 : 14,079.32 = 6,011 : x
  2. Step 2: Convert to fraction form
    10,200.32/14,079.32 = 6,011/x
  3. Step 3: Cross multiply
    10,200.32x = 14,079.32 × 6,011
  4. Step 4: Simplify right side
    10,200.32x = 84,630,792.52
  5. Step 5: Solve for x
    x = 84,630,792.52/10,200.32
  6. Step 6: Final answer
    x = 8,296.88

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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.