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Finding the Fourth Proportional to 7,786.25, 10,746.49 and 4,877.15

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Solution

The fourth proportional to 7,786.25, 10,746.49 and 4,877.15 is: 6,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.25 : 10,746.49 = 4,877.15 : x
  2. Step 2: Convert to fraction form
    7,786.25/10,746.49 = 4,877.15/x
  3. Step 3: Cross multiply
    7,786.25x = 10,746.49 × 4,877.15
  4. Step 4: Simplify right side
    7,786.25x = 52,412,243.70
  5. Step 5: Solve for x
    x = 52,412,243.70/7,786.25
  6. Step 6: Final answer
    x = 6,731.38

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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.