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Finding the Fourth Proportional to 10,122.60, 15,157.10 and 7,144.82

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Solution

The fourth proportional to 10,122.60, 15,157.10 and 7,144.82 is: 10,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.60 : 15,157.10 = 7,144.82 : x
  2. Step 2: Convert to fraction form
    10,122.60/15,157.10 = 7,144.82/x
  3. Step 3: Cross multiply
    10,122.60x = 15,157.10 × 7,144.82
  4. Step 4: Simplify right side
    10,122.60x = 108,294,751.22
  5. Step 5: Solve for x
    x = 108,294,751.22/10,122.60
  6. Step 6: Final answer
    x = 10,698.31

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