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Finding the Fourth Proportional to 7,563.50, 10,439.28 and 4,207.46

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Solution

The fourth proportional to 7,563.50, 10,439.28 and 4,207.46 is: 5,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.50 : 10,439.28 = 4,207.46 : x
  2. Step 2: Convert to fraction form
    7,563.50/10,439.28 = 4,207.46/x
  3. Step 3: Cross multiply
    7,563.50x = 10,439.28 × 4,207.46
  4. Step 4: Simplify right side
    7,563.50x = 43,922,853.03
  5. Step 5: Solve for x
    x = 43,922,853.03/7,563.50
  6. Step 6: Final answer
    x = 5,807.21

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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.