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Finding the Fourth Proportional to 10,457.41, 15,682.03 and 3,792.33

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Solution

The fourth proportional to 10,457.41, 15,682.03 and 3,792.33 is: 5,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.41 : 15,682.03 = 3,792.33 : x
  2. Step 2: Convert to fraction form
    10,457.41/15,682.03 = 3,792.33/x
  3. Step 3: Cross multiply
    10,457.41x = 15,682.03 × 3,792.33
  4. Step 4: Simplify right side
    10,457.41x = 59,471,378.76
  5. Step 5: Solve for x
    x = 59,471,378.76/10,457.41
  6. Step 6: Final answer
    x = 5,687.01

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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.