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Finding the Fourth Proportional to 7,563.43, 11,346.90 and 2,565.54

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Solution

The fourth proportional to 7,563.43, 11,346.90 and 2,565.54 is: 3,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.43 : 11,346.90 = 2,565.54 : x
  2. Step 2: Convert to fraction form
    7,563.43/11,346.90 = 2,565.54/x
  3. Step 3: Cross multiply
    7,563.43x = 11,346.90 × 2,565.54
  4. Step 4: Simplify right side
    7,563.43x = 29,110,873.65
  5. Step 5: Solve for x
    x = 29,110,873.65/7,563.43
  6. Step 6: Final answer
    x = 3,848.90

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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.