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Finding the Fourth Proportional to 10,468.23, 14,446.21 and 5,688.21

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Solution

The fourth proportional to 10,468.23, 14,446.21 and 5,688.21 is: 7,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.23 : 14,446.21 = 5,688.21 : x
  2. Step 2: Convert to fraction form
    10,468.23/14,446.21 = 5,688.21/x
  3. Step 3: Cross multiply
    10,468.23x = 14,446.21 × 5,688.21
  4. Step 4: Simplify right side
    10,468.23x = 82,172,989.73
  5. Step 5: Solve for x
    x = 82,172,989.73/10,468.23
  6. Step 6: Final answer
    x = 7,849.75

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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.