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Finding the Fourth Proportional to 7,784.09, 10,742.04 and 4,247.33

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Solution

The fourth proportional to 7,784.09, 10,742.04 and 4,247.33 is: 5,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.09 : 10,742.04 = 4,247.33 : x
  2. Step 2: Convert to fraction form
    7,784.09/10,742.04 = 4,247.33/x
  3. Step 3: Cross multiply
    7,784.09x = 10,742.04 × 4,247.33
  4. Step 4: Simplify right side
    7,784.09x = 45,624,988.75
  5. Step 5: Solve for x
    x = 45,624,988.75/7,784.09
  6. Step 6: Final answer
    x = 5,861.31

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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.