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Finding the Fourth Proportional to 7,732.37, 11,589.06 and 3,566.60

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Solution

The fourth proportional to 7,732.37, 11,589.06 and 3,566.60 is: 5,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.37 : 11,589.06 = 3,566.60 : x
  2. Step 2: Convert to fraction form
    7,732.37/11,589.06 = 3,566.60/x
  3. Step 3: Cross multiply
    7,732.37x = 11,589.06 × 3,566.60
  4. Step 4: Simplify right side
    7,732.37x = 41,333,541.40
  5. Step 5: Solve for x
    x = 41,333,541.40/7,732.37
  6. Step 6: Final answer
    x = 5,345.52

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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.