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Finding the Fourth Proportional to 7,794.50, 10,752.08 and 5,101.98

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Solution

The fourth proportional to 7,794.50, 10,752.08 and 5,101.98 is: 7,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.50 : 10,752.08 = 5,101.98 : x
  2. Step 2: Convert to fraction form
    7,794.50/10,752.08 = 5,101.98/x
  3. Step 3: Cross multiply
    7,794.50x = 10,752.08 × 5,101.98
  4. Step 4: Simplify right side
    7,794.50x = 54,856,897.12
  5. Step 5: Solve for x
    x = 54,856,897.12/7,794.50
  6. Step 6: Final answer
    x = 7,037.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.