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Finding the Fourth Proportional to 10,468.60, 14,446.73 and 5,688.58

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Solution

The fourth proportional to 10,468.60, 14,446.73 and 5,688.58 is: 7,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.60 : 14,446.73 = 5,688.58 : x
  2. Step 2: Convert to fraction form
    10,468.60/14,446.73 = 5,688.58/x
  3. Step 3: Cross multiply
    10,468.60x = 14,446.73 × 5,688.58
  4. Step 4: Simplify right side
    10,468.60x = 82,181,379.34
  5. Step 5: Solve for x
    x = 82,181,379.34/10,468.60
  6. Step 6: Final answer
    x = 7,850.27

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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.