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Finding the Fourth Proportional to 7,732.64, 11,598.96 and 1,889.24

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Solution

The fourth proportional to 7,732.64, 11,598.96 and 1,889.24 is: 2,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.64 : 11,598.96 = 1,889.24 : x
  2. Step 2: Convert to fraction form
    7,732.64/11,598.96 = 1,889.24/x
  3. Step 3: Cross multiply
    7,732.64x = 11,598.96 × 1,889.24
  4. Step 4: Simplify right side
    7,732.64x = 21,913,219.19
  5. Step 5: Solve for x
    x = 21,913,219.19/7,732.64
  6. Step 6: Final answer
    x = 2,833.86

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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.