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Finding the Fourth Proportional to 7,725.96, 11,582.73 and 7,110.81

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Solution

The fourth proportional to 7,725.96, 11,582.73 and 7,110.81 is: 10,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.96 : 11,582.73 = 7,110.81 : x
  2. Step 2: Convert to fraction form
    7,725.96/11,582.73 = 7,110.81/x
  3. Step 3: Cross multiply
    7,725.96x = 11,582.73 × 7,110.81
  4. Step 4: Simplify right side
    7,725.96x = 82,362,592.31
  5. Step 5: Solve for x
    x = 82,362,592.31/7,725.96
  6. Step 6: Final answer
    x = 10,660.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.