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Finding the Fourth Proportional to 7,387.38, 10,186.84 and 4,866.27

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Solution

The fourth proportional to 7,387.38, 10,186.84 and 4,866.27 is: 6,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.38 : 10,186.84 = 4,866.27 : x
  2. Step 2: Convert to fraction form
    7,387.38/10,186.84 = 4,866.27/x
  3. Step 3: Cross multiply
    7,387.38x = 10,186.84 × 4,866.27
  4. Step 4: Simplify right side
    7,387.38x = 49,571,913.89
  5. Step 5: Solve for x
    x = 49,571,913.89/7,387.38
  6. Step 6: Final answer
    x = 6,710.35

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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.