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Finding the Fourth Proportional to 7,945.50, 10,964.82 and 4,409.22

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Solution

The fourth proportional to 7,945.50, 10,964.82 and 4,409.22 is: 6,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.50 : 10,964.82 = 4,409.22 : x
  2. Step 2: Convert to fraction form
    7,945.50/10,964.82 = 4,409.22/x
  3. Step 3: Cross multiply
    7,945.50x = 10,964.82 × 4,409.22
  4. Step 4: Simplify right side
    7,945.50x = 48,346,303.64
  5. Step 5: Solve for x
    x = 48,346,303.64/7,945.50
  6. Step 6: Final answer
    x = 6,084.74

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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.