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Finding the Fourth Proportional to 12,540.95, 17,308.27 and 7,762.42

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Solution

The fourth proportional to 12,540.95, 17,308.27 and 7,762.42 is: 10,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.95 : 17,308.27 = 7,762.42 : x
  2. Step 2: Convert to fraction form
    12,540.95/17,308.27 = 7,762.42/x
  3. Step 3: Cross multiply
    12,540.95x = 17,308.27 × 7,762.42
  4. Step 4: Simplify right side
    12,540.95x = 134,354,022.40
  5. Step 5: Solve for x
    x = 134,354,022.40/12,540.95
  6. Step 6: Final answer
    x = 10,713.23

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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.