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Finding the Fourth Proportional to 11,506.84, 17,261.24 and 3,186.86

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Solution

The fourth proportional to 11,506.84, 17,261.24 and 3,186.86 is: 4,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.84 : 17,261.24 = 3,186.86 : x
  2. Step 2: Convert to fraction form
    11,506.84/17,261.24 = 3,186.86/x
  3. Step 3: Cross multiply
    11,506.84x = 17,261.24 × 3,186.86
  4. Step 4: Simplify right side
    11,506.84x = 55,009,155.31
  5. Step 5: Solve for x
    x = 55,009,155.31/11,506.84
  6. Step 6: Final answer
    x = 4,780.56

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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.