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Finding the Fourth Proportional to 10,144.83, 15,194.16 and 7,010.64

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Solution

The fourth proportional to 10,144.83, 15,194.16 and 7,010.64 is: 10,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.83 : 15,194.16 = 7,010.64 : x
  2. Step 2: Convert to fraction form
    10,144.83/15,194.16 = 7,010.64/x
  3. Step 3: Cross multiply
    10,144.83x = 15,194.16 × 7,010.64
  4. Step 4: Simplify right side
    10,144.83x = 106,520,785.86
  5. Step 5: Solve for x
    x = 106,520,785.86/10,144.83
  6. Step 6: Final answer
    x = 10,500.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.