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Finding the Fourth Proportional to 12,594.14, 17,378.83 and 7,289.28

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Solution

The fourth proportional to 12,594.14, 17,378.83 and 7,289.28 is: 10,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.14 : 17,378.83 = 7,289.28 : x
  2. Step 2: Convert to fraction form
    12,594.14/17,378.83 = 7,289.28/x
  3. Step 3: Cross multiply
    12,594.14x = 17,378.83 × 7,289.28
  4. Step 4: Simplify right side
    12,594.14x = 126,679,157.94
  5. Step 5: Solve for x
    x = 126,679,157.94/12,594.14
  6. Step 6: Final answer
    x = 10,058.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.