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Finding the Fourth Proportional to 10,173.16, 15,245.02 and 4,973.16

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Solution

The fourth proportional to 10,173.16, 15,245.02 and 4,973.16 is: 7,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.16 : 15,245.02 = 4,973.16 : x
  2. Step 2: Convert to fraction form
    10,173.16/15,245.02 = 4,973.16/x
  3. Step 3: Cross multiply
    10,173.16x = 15,245.02 × 4,973.16
  4. Step 4: Simplify right side
    10,173.16x = 75,815,923.66
  5. Step 5: Solve for x
    x = 75,815,923.66/10,173.16
  6. Step 6: Final answer
    x = 7,452.54

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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.