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Finding the Fourth Proportional to 7,477.24, 11,204.86 and 6,657.08

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Solution

The fourth proportional to 7,477.24, 11,204.86 and 6,657.08 is: 9,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.24 : 11,204.86 = 6,657.08 : x
  2. Step 2: Convert to fraction form
    7,477.24/11,204.86 = 6,657.08/x
  3. Step 3: Cross multiply
    7,477.24x = 11,204.86 × 6,657.08
  4. Step 4: Simplify right side
    7,477.24x = 74,591,649.41
  5. Step 5: Solve for x
    x = 74,591,649.41/7,477.24
  6. Step 6: Final answer
    x = 9,975.83

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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.