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Finding the Fourth Proportional to 12,056.07, 18,078.18 and 5,033.98

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Solution

The fourth proportional to 12,056.07, 18,078.18 and 5,033.98 is: 7,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.07 : 18,078.18 = 5,033.98 : x
  2. Step 2: Convert to fraction form
    12,056.07/18,078.18 = 5,033.98/x
  3. Step 3: Cross multiply
    12,056.07x = 18,078.18 × 5,033.98
  4. Step 4: Simplify right side
    12,056.07x = 91,005,196.56
  5. Step 5: Solve for x
    x = 91,005,196.56/12,056.07
  6. Step 6: Final answer
    x = 7,548.50

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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.