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Finding the Fourth Proportional to 10,505.40, 15,763.02 and 5,240.82

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Solution

The fourth proportional to 10,505.40, 15,763.02 and 5,240.82 is: 7,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.40 : 15,763.02 = 5,240.82 : x
  2. Step 2: Convert to fraction form
    10,505.40/15,763.02 = 5,240.82/x
  3. Step 3: Cross multiply
    10,505.40x = 15,763.02 × 5,240.82
  4. Step 4: Simplify right side
    10,505.40x = 82,611,150.48
  5. Step 5: Solve for x
    x = 82,611,150.48/10,505.40
  6. Step 6: Final answer
    x = 7,863.68

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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.