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Finding the Fourth Proportional to 10,216.73, 14,097.65 and 5,740.27

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Solution

The fourth proportional to 10,216.73, 14,097.65 and 5,740.27 is: 7,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.73 : 14,097.65 = 5,740.27 : x
  2. Step 2: Convert to fraction form
    10,216.73/14,097.65 = 5,740.27/x
  3. Step 3: Cross multiply
    10,216.73x = 14,097.65 × 5,740.27
  4. Step 4: Simplify right side
    10,216.73x = 80,924,253.42
  5. Step 5: Solve for x
    x = 80,924,253.42/10,216.73
  6. Step 6: Final answer
    x = 7,920.76

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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.