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Finding the Fourth Proportional to 12,287.94, 16,952.54 and 7,564.02

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Solution

The fourth proportional to 12,287.94, 16,952.54 and 7,564.02 is: 10,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.94 : 16,952.54 = 7,564.02 : x
  2. Step 2: Convert to fraction form
    12,287.94/16,952.54 = 7,564.02/x
  3. Step 3: Cross multiply
    12,287.94x = 16,952.54 × 7,564.02
  4. Step 4: Simplify right side
    12,287.94x = 128,229,292.77
  5. Step 5: Solve for x
    x = 128,229,292.77/12,287.94
  6. Step 6: Final answer
    x = 10,435.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.