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Finding the Fourth Proportional to 10,182.84, 15,274.46 and 4,632.31

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Solution

The fourth proportional to 10,182.84, 15,274.46 and 4,632.31 is: 6,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.84 : 15,274.46 = 4,632.31 : x
  2. Step 2: Convert to fraction form
    10,182.84/15,274.46 = 4,632.31/x
  3. Step 3: Cross multiply
    10,182.84x = 15,274.46 × 4,632.31
  4. Step 4: Simplify right side
    10,182.84x = 70,756,033.80
  5. Step 5: Solve for x
    x = 70,756,033.80/10,182.84
  6. Step 6: Final answer
    x = 6,948.56

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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.