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Finding the Fourth Proportional to 8,021.84, 11,952.80 and 7,148.93

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Solution

The fourth proportional to 8,021.84, 11,952.80 and 7,148.93 is: 10,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.84 : 11,952.80 = 7,148.93 : x
  2. Step 2: Convert to fraction form
    8,021.84/11,952.80 = 7,148.93/x
  3. Step 3: Cross multiply
    8,021.84x = 11,952.80 × 7,148.93
  4. Step 4: Simplify right side
    8,021.84x = 85,449,661.80
  5. Step 5: Solve for x
    x = 85,449,661.80/8,021.84
  6. Step 6: Final answer
    x = 10,652.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.