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Finding the Fourth Proportional to 7,540.86, 11,303.09 and 6,441.90

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Solution

The fourth proportional to 7,540.86, 11,303.09 and 6,441.90 is: 9,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.86 : 11,303.09 = 6,441.90 : x
  2. Step 2: Convert to fraction form
    7,540.86/11,303.09 = 6,441.90/x
  3. Step 3: Cross multiply
    7,540.86x = 11,303.09 × 6,441.90
  4. Step 4: Simplify right side
    7,540.86x = 72,813,343.26
  5. Step 5: Solve for x
    x = 72,813,343.26/7,540.86
  6. Step 6: Final answer
    x = 9,655.84

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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.