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Finding the Fourth Proportional to 7,470.56, 11,196.25 and 3,764.50

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Solution

The fourth proportional to 7,470.56, 11,196.25 and 3,764.50 is: 5,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.56 : 11,196.25 = 3,764.50 : x
  2. Step 2: Convert to fraction form
    7,470.56/11,196.25 = 3,764.50/x
  3. Step 3: Cross multiply
    7,470.56x = 11,196.25 × 3,764.50
  4. Step 4: Simplify right side
    7,470.56x = 42,148,245.72
  5. Step 5: Solve for x
    x = 42,148,245.72/7,470.56
  6. Step 6: Final answer
    x = 5,641.91

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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.