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Finding the Fourth Proportional to 7,725.34, 11,582.55 and 5,504.17

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Solution

The fourth proportional to 7,725.34, 11,582.55 and 5,504.17 is: 8,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.34 : 11,582.55 = 5,504.17 : x
  2. Step 2: Convert to fraction form
    7,725.34/11,582.55 = 5,504.17/x
  3. Step 3: Cross multiply
    7,725.34x = 11,582.55 × 5,504.17
  4. Step 4: Simplify right side
    7,725.34x = 63,752,324.23
  5. Step 5: Solve for x
    x = 63,752,324.23/7,725.34
  6. Step 6: Final answer
    x = 8,252.36

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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.