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Finding the Fourth Proportional to 10,468.89, 14,447.01 and 5,688.80

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Solution

The fourth proportional to 10,468.89, 14,447.01 and 5,688.80 is: 7,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.89 : 14,447.01 = 5,688.80 : x
  2. Step 2: Convert to fraction form
    10,468.89/14,447.01 = 5,688.80/x
  3. Step 3: Cross multiply
    10,468.89x = 14,447.01 × 5,688.80
  4. Step 4: Simplify right side
    10,468.89x = 82,186,153.76
  5. Step 5: Solve for x
    x = 82,186,153.76/10,468.89
  6. Step 6: Final answer
    x = 7,850.51

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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.