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Finding the Fourth Proportional to 11,971.48, 17,957.22 and 5,730.02

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Solution

The fourth proportional to 11,971.48, 17,957.22 and 5,730.02 is: 8,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.48 : 17,957.22 = 5,730.02 : x
  2. Step 2: Convert to fraction form
    11,971.48/17,957.22 = 5,730.02/x
  3. Step 3: Cross multiply
    11,971.48x = 17,957.22 × 5,730.02
  4. Step 4: Simplify right side
    11,971.48x = 102,895,229.74
  5. Step 5: Solve for x
    x = 102,895,229.74/11,971.48
  6. Step 6: Final answer
    x = 8,595.03

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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.