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Finding the Fourth Proportional to 7,730.50, 11,586.24 and 3,564.72

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Solution

The fourth proportional to 7,730.50, 11,586.24 and 3,564.72 is: 5,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.50 : 11,586.24 = 3,564.72 : x
  2. Step 2: Convert to fraction form
    7,730.50/11,586.24 = 3,564.72/x
  3. Step 3: Cross multiply
    7,730.50x = 11,586.24 × 3,564.72
  4. Step 4: Simplify right side
    7,730.50x = 41,301,739.33
  5. Step 5: Solve for x
    x = 41,301,739.33/7,730.50
  6. Step 6: Final answer
    x = 5,342.70

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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.