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Finding the Fourth Proportional to 8,232.50, 11,356.80 and 5,580.74

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Solution

The fourth proportional to 8,232.50, 11,356.80 and 5,580.74 is: 7,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.50 : 11,356.80 = 5,580.74 : x
  2. Step 2: Convert to fraction form
    8,232.50/11,356.80 = 5,580.74/x
  3. Step 3: Cross multiply
    8,232.50x = 11,356.80 × 5,580.74
  4. Step 4: Simplify right side
    8,232.50x = 63,379,348.03
  5. Step 5: Solve for x
    x = 63,379,348.03/8,232.50
  6. Step 6: Final answer
    x = 7,698.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.