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Finding the Fourth Proportional to 10,369.85, 14,310.41 and 5,654.16

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Solution

The fourth proportional to 10,369.85, 14,310.41 and 5,654.16 is: 7,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.85 : 14,310.41 = 5,654.16 : x
  2. Step 2: Convert to fraction form
    10,369.85/14,310.41 = 5,654.16/x
  3. Step 3: Cross multiply
    10,369.85x = 14,310.41 × 5,654.16
  4. Step 4: Simplify right side
    10,369.85x = 80,913,319.53
  5. Step 5: Solve for x
    x = 80,913,319.53/10,369.85
  6. Step 6: Final answer
    x = 7,802.75

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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.