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Finding the Fourth Proportional to 7,772.42, 11,648.21 and 2,837.30

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Solution

The fourth proportional to 7,772.42, 11,648.21 and 2,837.30 is: 4,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.42 : 11,648.21 = 2,837.30 : x
  2. Step 2: Convert to fraction form
    7,772.42/11,648.21 = 2,837.30/x
  3. Step 3: Cross multiply
    7,772.42x = 11,648.21 × 2,837.30
  4. Step 4: Simplify right side
    7,772.42x = 33,049,393.81
  5. Step 5: Solve for x
    x = 33,049,393.81/7,772.42
  6. Step 6: Final answer
    x = 4,252.14

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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.