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Finding the Fourth Proportional to 7,553.84, 10,425.38 and 4,724.10

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Solution

The fourth proportional to 7,553.84, 10,425.38 and 4,724.10 is: 6,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.84 : 10,425.38 = 4,724.10 : x
  2. Step 2: Convert to fraction form
    7,553.84/10,425.38 = 4,724.10/x
  3. Step 3: Cross multiply
    7,553.84x = 10,425.38 × 4,724.10
  4. Step 4: Simplify right side
    7,553.84x = 49,250,514.04
  5. Step 5: Solve for x
    x = 49,250,514.04/7,553.84
  6. Step 6: Final answer
    x = 6,519.94

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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.