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Finding the Fourth Proportional to 7,004.64, 9,663.12 and 5,216.16

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Solution

The fourth proportional to 7,004.64, 9,663.12 and 5,216.16 is: 7,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.64 : 9,663.12 = 5,216.16 : x
  2. Step 2: Convert to fraction form
    7,004.64/9,663.12 = 5,216.16/x
  3. Step 3: Cross multiply
    7,004.64x = 9,663.12 × 5,216.16
  4. Step 4: Simplify right side
    7,004.64x = 50,404,380.02
  5. Step 5: Solve for x
    x = 50,404,380.02/7,004.64
  6. Step 6: Final answer
    x = 7,195.86

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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.