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Finding the Fourth Proportional to 7,798.71, 11,694.60 and 4,837.03

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Solution

The fourth proportional to 7,798.71, 11,694.60 and 4,837.03 is: 7,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.71 : 11,694.60 = 4,837.03 : x
  2. Step 2: Convert to fraction form
    7,798.71/11,694.60 = 4,837.03/x
  3. Step 3: Cross multiply
    7,798.71x = 11,694.60 × 4,837.03
  4. Step 4: Simplify right side
    7,798.71x = 56,567,048.38
  5. Step 5: Solve for x
    x = 56,567,048.38/7,798.71
  6. Step 6: Final answer
    x = 7,253.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.