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Finding the Fourth Proportional to 10,475.43, 15,707.21 and 3,453.54

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Solution

The fourth proportional to 10,475.43, 15,707.21 and 3,453.54 is: 5,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.43 : 15,707.21 = 3,453.54 : x
  2. Step 2: Convert to fraction form
    10,475.43/15,707.21 = 3,453.54/x
  3. Step 3: Cross multiply
    10,475.43x = 15,707.21 × 3,453.54
  4. Step 4: Simplify right side
    10,475.43x = 54,245,460.76
  5. Step 5: Solve for x
    x = 54,245,460.76/10,475.43
  6. Step 6: Final answer
    x = 5,178.35

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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.