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Finding the Fourth Proportional to 10,532.50, 15,797.70 and 2,741.31

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Solution

The fourth proportional to 10,532.50, 15,797.70 and 2,741.31 is: 4,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.50 : 15,797.70 = 2,741.31 : x
  2. Step 2: Convert to fraction form
    10,532.50/15,797.70 = 2,741.31/x
  3. Step 3: Cross multiply
    10,532.50x = 15,797.70 × 2,741.31
  4. Step 4: Simplify right side
    10,532.50x = 43,306,392.99
  5. Step 5: Solve for x
    x = 43,306,392.99/10,532.50
  6. Step 6: Final answer
    x = 4,111.69

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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.