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Finding the Fourth Proportional to 11,712.72, 17,567.22 and 5,477.06

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Solution

The fourth proportional to 11,712.72, 17,567.22 and 5,477.06 is: 8,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.72 : 17,567.22 = 5,477.06 : x
  2. Step 2: Convert to fraction form
    11,712.72/17,567.22 = 5,477.06/x
  3. Step 3: Cross multiply
    11,712.72x = 17,567.22 × 5,477.06
  4. Step 4: Simplify right side
    11,712.72x = 96,216,717.97
  5. Step 5: Solve for x
    x = 96,216,717.97/11,712.72
  6. Step 6: Final answer
    x = 8,214.72

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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.