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Finding the Fourth Proportional to 11,681.63, 17,524.75 and 4,286.15

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Solution

The fourth proportional to 11,681.63, 17,524.75 and 4,286.15 is: 6,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.63 : 17,524.75 = 4,286.15 : x
  2. Step 2: Convert to fraction form
    11,681.63/17,524.75 = 4,286.15/x
  3. Step 3: Cross multiply
    11,681.63x = 17,524.75 × 4,286.15
  4. Step 4: Simplify right side
    11,681.63x = 75,113,707.21
  5. Step 5: Solve for x
    x = 75,113,707.21/11,681.63
  6. Step 6: Final answer
    x = 6,430.07

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