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Finding the Fourth Proportional to 8,952, 13,427.97 and 5,056.38

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Solution

The fourth proportional to 8,952, 13,427.97 and 5,056.38 is: 7,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952 : 13,427.97 = 5,056.38 : x
  2. Step 2: Convert to fraction form
    8,952/13,427.97 = 5,056.38/x
  3. Step 3: Cross multiply
    8,952x = 13,427.97 × 5,056.38
  4. Step 4: Simplify right side
    8,952x = 67,896,918.95
  5. Step 5: Solve for x
    x = 67,896,918.95/8,952
  6. Step 6: Final answer
    x = 7,584.55

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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.