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Finding the Fourth Proportional to 10,453.38, 15,680.06 and 3,527.88

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Solution

The fourth proportional to 10,453.38, 15,680.06 and 3,527.88 is: 5,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.38 : 15,680.06 = 3,527.88 : x
  2. Step 2: Convert to fraction form
    10,453.38/15,680.06 = 3,527.88/x
  3. Step 3: Cross multiply
    10,453.38x = 15,680.06 × 3,527.88
  4. Step 4: Simplify right side
    10,453.38x = 55,317,370.07
  5. Step 5: Solve for x
    x = 55,317,370.07/10,453.38
  6. Step 6: Final answer
    x = 5,291.82

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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.