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Finding the Fourth Proportional to 10,369.59, 14,310.05 and 5,653.86

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Solution

The fourth proportional to 10,369.59, 14,310.05 and 5,653.86 is: 7,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.59 : 14,310.05 = 5,653.86 : x
  2. Step 2: Convert to fraction form
    10,369.59/14,310.05 = 5,653.86/x
  3. Step 3: Cross multiply
    10,369.59x = 14,310.05 × 5,653.86
  4. Step 4: Simplify right side
    10,369.59x = 80,906,991.02
  5. Step 5: Solve for x
    x = 80,906,991.02/10,369.59
  6. Step 6: Final answer
    x = 7,802.33

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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.