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Finding the Fourth Proportional to 7,532.80, 11,291.00 and 6,433.83

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Solution

The fourth proportional to 7,532.80, 11,291.00 and 6,433.83 is: 9,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.80 : 11,291.00 = 6,433.83 : x
  2. Step 2: Convert to fraction form
    7,532.80/11,291.00 = 6,433.83/x
  3. Step 3: Cross multiply
    7,532.80x = 11,291.00 × 6,433.83
  4. Step 4: Simplify right side
    7,532.80x = 72,644,342.36
  5. Step 5: Solve for x
    x = 72,644,342.36/7,532.80
  6. Step 6: Final answer
    x = 9,643.74

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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.