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Finding the Fourth Proportional to 10,369.83, 14,310.32 and 5,654.11

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Solution

The fourth proportional to 10,369.83, 14,310.32 and 5,654.11 is: 7,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.83 : 14,310.32 = 5,654.11 : x
  2. Step 2: Convert to fraction form
    10,369.83/14,310.32 = 5,654.11/x
  3. Step 3: Cross multiply
    10,369.83x = 14,310.32 × 5,654.11
  4. Step 4: Simplify right side
    10,369.83x = 80,912,101.77
  5. Step 5: Solve for x
    x = 80,912,101.77/10,369.83
  6. Step 6: Final answer
    x = 7,802.65

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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.