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Finding the Fourth Proportional to 10,105.99, 15,157.18 and 3,534.06

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Solution

The fourth proportional to 10,105.99, 15,157.18 and 3,534.06 is: 5,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.99 : 15,157.18 = 3,534.06 : x
  2. Step 2: Convert to fraction form
    10,105.99/15,157.18 = 3,534.06/x
  3. Step 3: Cross multiply
    10,105.99x = 15,157.18 × 3,534.06
  4. Step 4: Simplify right side
    10,105.99x = 53,566,383.55
  5. Step 5: Solve for x
    x = 53,566,383.55/10,105.99
  6. Step 6: Final answer
    x = 5,300.46

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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.