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Finding the Fourth Proportional to 10,426.46, 15,605.78 and 7,652.43

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Solution

The fourth proportional to 10,426.46, 15,605.78 and 7,652.43 is: 11,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.46 : 15,605.78 = 7,652.43 : x
  2. Step 2: Convert to fraction form
    10,426.46/15,605.78 = 7,652.43/x
  3. Step 3: Cross multiply
    10,426.46x = 15,605.78 × 7,652.43
  4. Step 4: Simplify right side
    10,426.46x = 119,422,100.78
  5. Step 5: Solve for x
    x = 119,422,100.78/10,426.46
  6. Step 6: Final answer
    x = 11,453.76

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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.