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Finding the Fourth Proportional to 7,232.80, 10,848.40 and 2,551.94

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Solution

The fourth proportional to 7,232.80, 10,848.40 and 2,551.94 is: 3,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.80 : 10,848.40 = 2,551.94 : x
  2. Step 2: Convert to fraction form
    7,232.80/10,848.40 = 2,551.94/x
  3. Step 3: Cross multiply
    7,232.80x = 10,848.40 × 2,551.94
  4. Step 4: Simplify right side
    7,232.80x = 27,684,465.90
  5. Step 5: Solve for x
    x = 27,684,465.90/7,232.80
  6. Step 6: Final answer
    x = 3,827.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.