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Finding the Fourth Proportional to 11,724, 17,590.32 and 6,177.12

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Solution

The fourth proportional to 11,724, 17,590.32 and 6,177.12 is: 9,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 17,590.32 = 6,177.12 : x
  2. Step 2: Convert to fraction form
    11,724/17,590.32 = 6,177.12/x
  3. Step 3: Cross multiply
    11,724x = 17,590.32 × 6,177.12
  4. Step 4: Simplify right side
    11,724x = 108,657,517.48
  5. Step 5: Solve for x
    x = 108,657,517.48/11,724
  6. Step 6: Final answer
    x = 9,267.96

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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.