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Finding the Fourth Proportional to 7,497.75, 11,232.31 and 4,200.87

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Solution

The fourth proportional to 7,497.75, 11,232.31 and 4,200.87 is: 6,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.75 : 11,232.31 = 4,200.87 : x
  2. Step 2: Convert to fraction form
    7,497.75/11,232.31 = 4,200.87/x
  3. Step 3: Cross multiply
    7,497.75x = 11,232.31 × 4,200.87
  4. Step 4: Simplify right side
    7,497.75x = 47,185,474.11
  5. Step 5: Solve for x
    x = 47,185,474.11/7,497.75
  6. Step 6: Final answer
    x = 6,293.28

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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.