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Finding the Fourth Proportional to 7,549.64, 11,323.36 and 2,003.32

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Solution

The fourth proportional to 7,549.64, 11,323.36 and 2,003.32 is: 3,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.64 : 11,323.36 = 2,003.32 : x
  2. Step 2: Convert to fraction form
    7,549.64/11,323.36 = 2,003.32/x
  3. Step 3: Cross multiply
    7,549.64x = 11,323.36 × 2,003.32
  4. Step 4: Simplify right side
    7,549.64x = 22,684,313.56
  5. Step 5: Solve for x
    x = 22,684,313.56/7,549.64
  6. Step 6: Final answer
    x = 3,004.69

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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.