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Finding the Fourth Proportional to 10,525.50, 15,798.18 and 7,743.70

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Solution

The fourth proportional to 10,525.50, 15,798.18 and 7,743.70 is: 11,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.50 : 15,798.18 = 7,743.70 : x
  2. Step 2: Convert to fraction form
    10,525.50/15,798.18 = 7,743.70/x
  3. Step 3: Cross multiply
    10,525.50x = 15,798.18 × 7,743.70
  4. Step 4: Simplify right side
    10,525.50x = 122,336,366.47
  5. Step 5: Solve for x
    x = 122,336,366.47/10,525.50
  6. Step 6: Final answer
    x = 11,622.86

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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.