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Finding the Fourth Proportional to 8,604.38, 11,877.72 and 7,284.98

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Solution

The fourth proportional to 8,604.38, 11,877.72 and 7,284.98 is: 10,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.38 : 11,877.72 = 7,284.98 : x
  2. Step 2: Convert to fraction form
    8,604.38/11,877.72 = 7,284.98/x
  3. Step 3: Cross multiply
    8,604.38x = 11,877.72 × 7,284.98
  4. Step 4: Simplify right side
    8,604.38x = 86,528,952.65
  5. Step 5: Solve for x
    x = 86,528,952.65/8,604.38
  6. Step 6: Final answer
    x = 10,056.38

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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.