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Finding the Fourth Proportional to 10,468.98, 14,447.25 and 5,688.96

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Solution

The fourth proportional to 10,468.98, 14,447.25 and 5,688.96 is: 7,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.98 : 14,447.25 = 5,688.96 : x
  2. Step 2: Convert to fraction form
    10,468.98/14,447.25 = 5,688.96/x
  3. Step 3: Cross multiply
    10,468.98x = 14,447.25 × 5,688.96
  4. Step 4: Simplify right side
    10,468.98x = 82,189,827.36
  5. Step 5: Solve for x
    x = 82,189,827.36/10,468.98
  6. Step 6: Final answer
    x = 7,850.80

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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.