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Finding the Fourth Proportional to 11,506.86, 17,258.20 and 3,184.79

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Solution

The fourth proportional to 11,506.86, 17,258.20 and 3,184.79 is: 4,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.86 : 17,258.20 = 3,184.79 : x
  2. Step 2: Convert to fraction form
    11,506.86/17,258.20 = 3,184.79/x
  3. Step 3: Cross multiply
    11,506.86x = 17,258.20 × 3,184.79
  4. Step 4: Simplify right side
    11,506.86x = 54,963,648.53
  5. Step 5: Solve for x
    x = 54,963,648.53/11,506.86
  6. Step 6: Final answer
    x = 4,776.60

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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.