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Finding the Fourth Proportional to 10,311.22, 15,468.05 and 7,730.56

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Solution

The fourth proportional to 10,311.22, 15,468.05 and 7,730.56 is: 11,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.22 : 15,468.05 = 7,730.56 : x
  2. Step 2: Convert to fraction form
    10,311.22/15,468.05 = 7,730.56/x
  3. Step 3: Cross multiply
    10,311.22x = 15,468.05 × 7,730.56
  4. Step 4: Simplify right side
    10,311.22x = 119,576,688.61
  5. Step 5: Solve for x
    x = 119,576,688.61/10,311.22
  6. Step 6: Final answer
    x = 11,596.75

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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.