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Finding the Fourth Proportional to 10,423.84, 15,632.49 and 3,028.81

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Solution

The fourth proportional to 10,423.84, 15,632.49 and 3,028.81 is: 4,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.84 : 15,632.49 = 3,028.81 : x
  2. Step 2: Convert to fraction form
    10,423.84/15,632.49 = 3,028.81/x
  3. Step 3: Cross multiply
    10,423.84x = 15,632.49 × 3,028.81
  4. Step 4: Simplify right side
    10,423.84x = 47,347,842.04
  5. Step 5: Solve for x
    x = 47,347,842.04/10,423.84
  6. Step 6: Final answer
    x = 4,542.26

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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.