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Finding the Fourth Proportional to 10,164.36, 15,251.76 and 7,698.36

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Solution

The fourth proportional to 10,164.36, 15,251.76 and 7,698.36 is: 11,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.36 : 15,251.76 = 7,698.36 : x
  2. Step 2: Convert to fraction form
    10,164.36/15,251.76 = 7,698.36/x
  3. Step 3: Cross multiply
    10,164.36x = 15,251.76 × 7,698.36
  4. Step 4: Simplify right side
    10,164.36x = 117,413,539.11
  5. Step 5: Solve for x
    x = 117,413,539.11/10,164.36
  6. Step 6: Final answer
    x = 11,551.49

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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.