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Finding the Fourth Proportional to 8,926.98, 13,388.25 and 3,663.48

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Solution

The fourth proportional to 8,926.98, 13,388.25 and 3,663.48 is: 5,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.98 : 13,388.25 = 3,663.48 : x
  2. Step 2: Convert to fraction form
    8,926.98/13,388.25 = 3,663.48/x
  3. Step 3: Cross multiply
    8,926.98x = 13,388.25 × 3,663.48
  4. Step 4: Simplify right side
    8,926.98x = 49,047,574.75
  5. Step 5: Solve for x
    x = 49,047,574.75/8,926.98
  6. Step 6: Final answer
    x = 5,494.31

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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.