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Finding the Fourth Proportional to 8,037.50, 12,007.36 and 5,203.24

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Solution

The fourth proportional to 8,037.50, 12,007.36 and 5,203.24 is: 7,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.50 : 12,007.36 = 5,203.24 : x
  2. Step 2: Convert to fraction form
    8,037.50/12,007.36 = 5,203.24/x
  3. Step 3: Cross multiply
    8,037.50x = 12,007.36 × 5,203.24
  4. Step 4: Simplify right side
    8,037.50x = 62,477,188.85
  5. Step 5: Solve for x
    x = 62,477,188.85/8,037.50
  6. Step 6: Final answer
    x = 7,773.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.