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Finding the Fourth Proportional to 10,474.01, 15,707.23 and 4,147.42

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Solution

The fourth proportional to 10,474.01, 15,707.23 and 4,147.42 is: 6,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.01 : 15,707.23 = 4,147.42 : x
  2. Step 2: Convert to fraction form
    10,474.01/15,707.23 = 4,147.42/x
  3. Step 3: Cross multiply
    10,474.01x = 15,707.23 × 4,147.42
  4. Step 4: Simplify right side
    10,474.01x = 65,144,482.99
  5. Step 5: Solve for x
    x = 65,144,482.99/10,474.01
  6. Step 6: Final answer
    x = 6,219.63

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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.