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Finding the Fourth Proportional to 7,787.21, 11,662.18 and 4,271.81

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Solution

The fourth proportional to 7,787.21, 11,662.18 and 4,271.81 is: 6,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.21 : 11,662.18 = 4,271.81 : x
  2. Step 2: Convert to fraction form
    7,787.21/11,662.18 = 4,271.81/x
  3. Step 3: Cross multiply
    7,787.21x = 11,662.18 × 4,271.81
  4. Step 4: Simplify right side
    7,787.21x = 49,818,548.16
  5. Step 5: Solve for x
    x = 49,818,548.16/7,787.21
  6. Step 6: Final answer
    x = 6,397.49

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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.