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Finding the Fourth Proportional to 12,525.16, 18,787.92 and 5,952

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Solution

The fourth proportional to 12,525.16, 18,787.92 and 5,952 is: 8,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.16 : 18,787.92 = 5,952 : x
  2. Step 2: Convert to fraction form
    12,525.16/18,787.92 = 5,952/x
  3. Step 3: Cross multiply
    12,525.16x = 18,787.92 × 5,952
  4. Step 4: Simplify right side
    12,525.16x = 111,825,699.84
  5. Step 5: Solve for x
    x = 111,825,699.84/12,525.16
  6. Step 6: Final answer
    x = 8,928.09

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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.