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Finding the Fourth Proportional to 11,321.64, 15,631.65 and 7,074.54

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Solution

The fourth proportional to 11,321.64, 15,631.65 and 7,074.54 is: 9,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.64 : 15,631.65 = 7,074.54 : x
  2. Step 2: Convert to fraction form
    11,321.64/15,631.65 = 7,074.54/x
  3. Step 3: Cross multiply
    11,321.64x = 15,631.65 × 7,074.54
  4. Step 4: Simplify right side
    11,321.64x = 110,586,733.19
  5. Step 5: Solve for x
    x = 110,586,733.19/11,321.64
  6. Step 6: Final answer
    x = 9,767.73

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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.