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Finding the Fourth Proportional to 7,768.83, 10,721.03 and 4,625.13

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Solution

The fourth proportional to 7,768.83, 10,721.03 and 4,625.13 is: 6,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.83 : 10,721.03 = 4,625.13 : x
  2. Step 2: Convert to fraction form
    7,768.83/10,721.03 = 4,625.13/x
  3. Step 3: Cross multiply
    7,768.83x = 10,721.03 × 4,625.13
  4. Step 4: Simplify right side
    7,768.83x = 49,586,134.36
  5. Step 5: Solve for x
    x = 49,586,134.36/7,768.83
  6. Step 6: Final answer
    x = 6,382.70

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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.